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Finding the Third Proportional to 96,826,560 and 145,523,616

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Solution

The third proportional to 96,826,560 and 145,523,616 is: 218,711,919.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,826,560 : 145,523,616 = 145,523,616 : x
  2. Step 2: Convert to fraction form
    96,826,560/145,523,616 = 145,523,616/x
  3. Step 3: Cross multiply
    96,826,560x = 145,523,616 × 145,523,616
  4. Step 4: Simplify right side
    96,826,560x = 21,177,122,813,715,456
  5. Step 5: Solve for x
    x = 21,177,122,813,715,456/96,826,560
  6. Step 6: Final answer
    x = 218,711,919.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.