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Finding the Third Proportional to 90,877,512 and 137,262,448

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Solution

The third proportional to 90,877,512 and 137,262,448 is: 207,322,793.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,877,512 : 137,262,448 = 137,262,448 : x
  2. Step 2: Convert to fraction form
    90,877,512/137,262,448 = 137,262,448/x
  3. Step 3: Cross multiply
    90,877,512x = 137,262,448 × 137,262,448
  4. Step 4: Simplify right side
    90,877,512x = 18,840,979,630,952,704
  5. Step 5: Solve for x
    x = 18,840,979,630,952,704/90,877,512
  6. Step 6: Final answer
    x = 207,322,793.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.