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Finding the Third Proportional to 67,132,529 and 103,664,373

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Solution

The third proportional to 67,132,529 and 103,664,373 is: 160,075,933.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,132,529 : 103,664,373 = 103,664,373 : x
  2. Step 2: Convert to fraction form
    67,132,529/103,664,373 = 103,664,373/x
  3. Step 3: Cross multiply
    67,132,529x = 103,664,373 × 103,664,373
  4. Step 4: Simplify right side
    67,132,529x = 10,746,302,229,483,128
  5. Step 5: Solve for x
    x = 10,746,302,229,483,128/67,132,529
  6. Step 6: Final answer
    x = 160,075,933.23

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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.