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Finding the Third Proportional to 239,924,853,753 and 499,708,146,600.75

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Solution

The third proportional to 239,924,853,753 and 499,708,146,600.75 is: 1,040,776,842,720.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,924,853,753 : 499,708,146,600.75 = 499,708,146,600.75 : x
  2. Step 2: Convert to fraction form
    239,924,853,753/499,708,146,600.75 = 499,708,146,600.75/x
  3. Step 3: Cross multiply
    239,924,853,753x = 499,708,146,600.75 × 499,708,146,600.75
  4. Step 4: Simplify right side
    239,924,853,753x = 249,708,231,779,156,639,088,640
  5. Step 5: Solve for x
    x = 249,708,231,779,156,639,088,640/239,924,853,753
  6. Step 6: Final answer
    x = 1,040,776,842,720.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.