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Finding the Third Proportional to 124,829,052 and 165,634,812

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Solution

The third proportional to 124,829,052 and 165,634,812 is: 219,779,694.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,829,052 : 165,634,812 = 165,634,812 : x
  2. Step 2: Convert to fraction form
    124,829,052/165,634,812 = 165,634,812/x
  3. Step 3: Cross multiply
    124,829,052x = 165,634,812 × 165,634,812
  4. Step 4: Simplify right side
    124,829,052x = 27,434,890,946,275,344
  5. Step 5: Solve for x
    x = 27,434,890,946,275,344/124,829,052
  6. Step 6: Final answer
    x = 219,779,694.76

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.