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Finding the Third Proportional to 137,164,582 and 208,962,552

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Solution

The third proportional to 137,164,582 and 208,962,552 is: 318,342,734.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,164,582 : 208,962,552 = 208,962,552 : x
  2. Step 2: Convert to fraction form
    137,164,582/208,962,552 = 208,962,552/x
  3. Step 3: Cross multiply
    137,164,582x = 208,962,552 × 208,962,552
  4. Step 4: Simplify right side
    137,164,582x = 43,665,348,138,352,704
  5. Step 5: Solve for x
    x = 43,665,348,138,352,704/137,164,582
  6. Step 6: Final answer
    x = 318,342,734.70

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.