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Finding the Third Proportional to 239,924,854,098 and 499,708,147,257

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Solution

The third proportional to 239,924,854,098 and 499,708,147,257 is: 1,040,776,843,957.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,924,854,098 : 499,708,147,257 = 499,708,147,257 : x
  2. Step 2: Convert to fraction form
    239,924,854,098/499,708,147,257 = 499,708,147,257/x
  3. Step 3: Cross multiply
    239,924,854,098x = 499,708,147,257 × 499,708,147,257
  4. Step 4: Simplify right side
    239,924,854,098x = 249,708,232,435,023,613,001,728
  5. Step 5: Solve for x
    x = 249,708,232,435,023,613,001,728/239,924,854,098
  6. Step 6: Final answer
    x = 1,040,776,843,957.26

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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.