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Finding the Third Proportional to 98,986,062 and 149,753,120

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Solution

The third proportional to 98,986,062 and 149,753,120 is: 226,557,118.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,986,062 : 149,753,120 = 149,753,120 : x
  2. Step 2: Convert to fraction form
    98,986,062/149,753,120 = 149,753,120/x
  3. Step 3: Cross multiply
    98,986,062x = 149,753,120 × 149,753,120
  4. Step 4: Simplify right side
    98,986,062x = 22,425,996,949,734,400
  5. Step 5: Solve for x
    x = 22,425,996,949,734,400/98,986,062
  6. Step 6: Final answer
    x = 226,557,118.21

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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.