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Finding the Third Proportional to 98,377,884 and 147,024,624

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Solution

The third proportional to 98,377,884 and 147,024,624 is: 219,726,621.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,377,884 : 147,024,624 = 147,024,624 : x
  2. Step 2: Convert to fraction form
    98,377,884/147,024,624 = 147,024,624/x
  3. Step 3: Cross multiply
    98,377,884x = 147,024,624 × 147,024,624
  4. Step 4: Simplify right side
    98,377,884x = 21,616,240,062,341,376
  5. Step 5: Solve for x
    x = 21,616,240,062,341,376/98,377,884
  6. Step 6: Final answer
    x = 219,726,621.30

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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.