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Finding the Third Proportional to 67,132,517 and 103,664,352

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Solution

The third proportional to 67,132,517 and 103,664,352 is: 160,075,896.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,132,517 : 103,664,352 = 103,664,352 : x
  2. Step 2: Convert to fraction form
    67,132,517/103,664,352 = 103,664,352/x
  3. Step 3: Cross multiply
    67,132,517x = 103,664,352 × 103,664,352
  4. Step 4: Simplify right side
    67,132,517x = 10,746,297,875,579,904
  5. Step 5: Solve for x
    x = 10,746,297,875,579,904/67,132,517
  6. Step 6: Final answer
    x = 160,075,896.98

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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.