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Finding the Third Proportional to 239,924,854,134 and 499,708,147,320

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Solution

The third proportional to 239,924,854,134 and 499,708,147,320 is: 1,040,776,844,063.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,924,854,134 : 499,708,147,320 = 499,708,147,320 : x
  2. Step 2: Convert to fraction form
    239,924,854,134/499,708,147,320 = 499,708,147,320/x
  3. Step 3: Cross multiply
    239,924,854,134x = 499,708,147,320 × 499,708,147,320
  4. Step 4: Simplify right side
    239,924,854,134x = 249,708,232,497,986,826,928,128
  5. Step 5: Solve for x
    x = 249,708,232,497,986,826,928,128/239,924,854,134
  6. Step 6: Final answer
    x = 1,040,776,844,063.53

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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.