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Finding the Third Proportional to 170,369,410 and 278,168,451

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Solution

The third proportional to 170,369,410 and 278,168,451 is: 454,175,941.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,369,410 : 278,168,451 = 278,168,451 : x
  2. Step 2: Convert to fraction form
    170,369,410/278,168,451 = 278,168,451/x
  3. Step 3: Cross multiply
    170,369,410x = 278,168,451 × 278,168,451
  4. Step 4: Simplify right side
    170,369,410x = 77,377,687,131,739,408
  5. Step 5: Solve for x
    x = 77,377,687,131,739,408/170,369,410
  6. Step 6: Final answer
    x = 454,175,941.16

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.