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Finding the Third Proportional to 67,132,524 and 103,664,368

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Solution

The third proportional to 67,132,524 and 103,664,368 is: 160,075,929.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,132,524 : 103,664,368 = 103,664,368 : x
  2. Step 2: Convert to fraction form
    67,132,524/103,664,368 = 103,664,368/x
  3. Step 3: Cross multiply
    67,132,524x = 103,664,368 × 103,664,368
  4. Step 4: Simplify right side
    67,132,524x = 10,746,301,192,839,424
  5. Step 5: Solve for x
    x = 10,746,301,192,839,424/67,132,524
  6. Step 6: Final answer
    x = 160,075,929.71

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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.