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Finding the Third Proportional to 89,687,344 and 194,250,320

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Solution

The third proportional to 89,687,344 and 194,250,320 is: 420,719,191.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,687,344 : 194,250,320 = 194,250,320 : x
  2. Step 2: Convert to fraction form
    89,687,344/194,250,320 = 194,250,320/x
  3. Step 3: Cross multiply
    89,687,344x = 194,250,320 × 194,250,320
  4. Step 4: Simplify right side
    89,687,344x = 37,733,186,820,102,400
  5. Step 5: Solve for x
    x = 37,733,186,820,102,400/89,687,344
  6. Step 6: Final answer
    x = 420,719,191.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.