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Finding the Third Proportional to 67,132,533 and 103,664,376

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Solution

The third proportional to 67,132,533 and 103,664,376 is: 160,075,932.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,132,533 : 103,664,376 = 103,664,376 : x
  2. Step 2: Convert to fraction form
    67,132,533/103,664,376 = 103,664,376/x
  3. Step 3: Cross multiply
    67,132,533x = 103,664,376 × 103,664,376
  4. Step 4: Simplify right side
    67,132,533x = 10,746,302,851,469,376
  5. Step 5: Solve for x
    x = 10,746,302,851,469,376/67,132,533
  6. Step 6: Final answer
    x = 160,075,932.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.