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Finding the Third Proportional to 69,102,866 and 148,260,100

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Solution

The third proportional to 69,102,866 and 148,260,100 is: 318,091,832.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,102,866 : 148,260,100 = 148,260,100 : x
  2. Step 2: Convert to fraction form
    69,102,866/148,260,100 = 148,260,100/x
  3. Step 3: Cross multiply
    69,102,866x = 148,260,100 × 148,260,100
  4. Step 4: Simplify right side
    69,102,866x = 21,981,057,252,010,000
  5. Step 5: Solve for x
    x = 21,981,057,252,010,000/69,102,866
  6. Step 6: Final answer
    x = 318,091,832.14

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.