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Finding the Third Proportional to 239,305,303.13 and 520,539,085.13

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Solution

The third proportional to 239,305,303.13 and 520,539,085.13 is: 1,132,281,381.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,305,303.13 : 520,539,085.13 = 520,539,085.13 : x
  2. Step 2: Convert to fraction form
    239,305,303.13/520,539,085.13 = 520,539,085.13/x
  3. Step 3: Cross multiply
    239,305,303.13x = 520,539,085.13 × 520,539,085.13
  4. Step 4: Simplify right side
    239,305,303.13x = 270,960,939,142,772,000
  5. Step 5: Solve for x
    x = 270,960,939,142,772,000/239,305,303.13
  6. Step 6: Final answer
    x = 1,132,281,381.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.