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Finding the Third Proportional to 239,924,854,038 and 499,708,147,150.50

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Solution

The third proportional to 239,924,854,038 and 499,708,147,150.50 is: 1,040,776,843,773.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,924,854,038 : 499,708,147,150.50 = 499,708,147,150.50 : x
  2. Step 2: Convert to fraction form
    239,924,854,038/499,708,147,150.50 = 499,708,147,150.50/x
  3. Step 3: Cross multiply
    239,924,854,038x = 499,708,147,150.50 × 499,708,147,150.50
  4. Step 4: Simplify right side
    239,924,854,038x = 249,708,232,328,585,767,026,688
  5. Step 5: Solve for x
    x = 249,708,232,328,585,767,026,688/239,924,854,038
  6. Step 6: Final answer
    x = 1,040,776,843,773.91

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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.