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Finding the Third Proportional to 68,699,882 and 148,161,451

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Solution

The third proportional to 68,699,882 and 148,161,451 is: 319,532,070.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,699,882 : 148,161,451 = 148,161,451 : x
  2. Step 2: Convert to fraction form
    68,699,882/148,161,451 = 148,161,451/x
  3. Step 3: Cross multiply
    68,699,882x = 148,161,451 × 148,161,451
  4. Step 4: Simplify right side
    68,699,882x = 21,951,815,562,425,400
  5. Step 5: Solve for x
    x = 21,951,815,562,425,400/68,699,882
  6. Step 6: Final answer
    x = 319,532,070.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.