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Finding the Third Proportional to 88,347 and 191,544

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Solution

The third proportional to 88,347 and 191,544 is: 415,284.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,347 : 191,544 = 191,544 : x
  2. Step 2: Convert to fraction form
    88,347/191,544 = 191,544/x
  3. Step 3: Cross multiply
    88,347x = 191,544 × 191,544
  4. Step 4: Simplify right side
    88,347x = 36,689,103,936
  5. Step 5: Solve for x
    x = 36,689,103,936/88,347
  6. Step 6: Final answer
    x = 415,284.09

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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.