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Finding the Third Proportional to 241,559,521,333.50 and 360,244,506,326.25

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Solution

The third proportional to 241,559,521,333.50 and 360,244,506,326.25 is: 537,242,761,625.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,559,521,333.50 : 360,244,506,326.25 = 360,244,506,326.25 : x
  2. Step 2: Convert to fraction form
    241,559,521,333.50/360,244,506,326.25 = 360,244,506,326.25/x
  3. Step 3: Cross multiply
    241,559,521,333.50x = 360,244,506,326.25 × 360,244,506,326.25
  4. Step 4: Simplify right side
    241,559,521,333.50x = 129,776,104,338,243,582,951,424
  5. Step 5: Solve for x
    x = 129,776,104,338,243,582,951,424/241,559,521,333.50
  6. Step 6: Final answer
    x = 537,242,761,625.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.