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Finding the Third Proportional to 98,986,081 and 149,753,147

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Solution

The third proportional to 98,986,081 and 149,753,147 is: 226,557,156.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,986,081 : 149,753,147 = 149,753,147 : x
  2. Step 2: Convert to fraction form
    98,986,081/149,753,147 = 149,753,147/x
  3. Step 3: Cross multiply
    98,986,081x = 149,753,147 × 149,753,147
  4. Step 4: Simplify right side
    98,986,081x = 22,426,005,036,403,608
  5. Step 5: Solve for x
    x = 22,426,005,036,403,608/98,986,081
  6. Step 6: Final answer
    x = 226,557,156.42

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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.