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Finding the Third Proportional to 98,377,956 and 147,024,720

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Solution

The third proportional to 98,377,956 and 147,024,720 is: 219,726,747.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,377,956 : 147,024,720 = 147,024,720 : x
  2. Step 2: Convert to fraction form
    98,377,956/147,024,720 = 147,024,720/x
  3. Step 3: Cross multiply
    98,377,956x = 147,024,720 × 147,024,720
  4. Step 4: Simplify right side
    98,377,956x = 21,616,268,291,078,400
  5. Step 5: Solve for x
    x = 21,616,268,291,078,400/98,377,956
  6. Step 6: Final answer
    x = 219,726,747.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.