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Finding the Third Proportional to 241,559,521,321 and 360,244,506,310

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Solution

The third proportional to 241,559,521,321 and 360,244,506,310 is: 537,242,761,605.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,559,521,321 : 360,244,506,310 = 360,244,506,310 : x
  2. Step 2: Convert to fraction form
    241,559,521,321/360,244,506,310 = 360,244,506,310/x
  3. Step 3: Cross multiply
    241,559,521,321x = 360,244,506,310 × 360,244,506,310
  4. Step 4: Simplify right side
    241,559,521,321x = 129,776,104,326,535,636,320,256
  5. Step 5: Solve for x
    x = 129,776,104,326,535,636,320,256/241,559,521,321
  6. Step 6: Final answer
    x = 537,242,761,605.25

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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.