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Finding the Third Proportional to 67,132,523 and 103,664,358

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Solution

The third proportional to 67,132,523 and 103,664,358 is: 160,075,901.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,132,523 : 103,664,358 = 103,664,358 : x
  2. Step 2: Convert to fraction form
    67,132,523/103,664,358 = 103,664,358/x
  3. Step 3: Cross multiply
    67,132,523x = 103,664,358 × 103,664,358
  4. Step 4: Simplify right side
    67,132,523x = 10,746,299,119,552,164
  5. Step 5: Solve for x
    x = 10,746,299,119,552,164/67,132,523
  6. Step 6: Final answer
    x = 160,075,901.21

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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.