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Finding the Third Proportional to 96,213,192 and 209,792,624

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Solution

The third proportional to 96,213,192 and 209,792,624 is: 457,452,290.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,213,192 : 209,792,624 = 209,792,624 : x
  2. Step 2: Convert to fraction form
    96,213,192/209,792,624 = 209,792,624/x
  3. Step 3: Cross multiply
    96,213,192x = 209,792,624 × 209,792,624
  4. Step 4: Simplify right side
    96,213,192x = 44,012,945,084,805,376
  5. Step 5: Solve for x
    x = 44,012,945,084,805,376/96,213,192
  6. Step 6: Final answer
    x = 457,452,290.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.