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Finding the Third Proportional to 239,924,854,101 and 499,708,147,263

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Solution

The third proportional to 239,924,854,101 and 499,708,147,263 is: 1,040,776,843,969.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,924,854,101 : 499,708,147,263 = 499,708,147,263 : x
  2. Step 2: Convert to fraction form
    239,924,854,101/499,708,147,263 = 499,708,147,263/x
  3. Step 3: Cross multiply
    239,924,854,101x = 499,708,147,263 × 499,708,147,263
  4. Step 4: Simplify right side
    239,924,854,101x = 249,708,232,441,020,091,990,016
  5. Step 5: Solve for x
    x = 249,708,232,441,020,091,990,016/239,924,854,101
  6. Step 6: Final answer
    x = 1,040,776,843,969.24

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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.