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Finding the Third Proportional to 67,132,467 and 103,664,273

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Solution

The third proportional to 67,132,467 and 103,664,273 is: 160,075,772.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,132,467 : 103,664,273 = 103,664,273 : x
  2. Step 2: Convert to fraction form
    67,132,467/103,664,273 = 103,664,273/x
  3. Step 3: Cross multiply
    67,132,467x = 103,664,273 × 103,664,273
  4. Step 4: Simplify right side
    67,132,467x = 10,746,281,496,618,528
  5. Step 5: Solve for x
    x = 10,746,281,496,618,528/67,132,467
  6. Step 6: Final answer
    x = 160,075,772.23

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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.