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Finding the Third Proportional to 88,490 and 191,067

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Solution

The third proportional to 88,490 and 191,067 is: 412,550.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,490 : 191,067 = 191,067 : x
  2. Step 2: Convert to fraction form
    88,490/191,067 = 191,067/x
  3. Step 3: Cross multiply
    88,490x = 191,067 × 191,067
  4. Step 4: Simplify right side
    88,490x = 36,506,598,489
  5. Step 5: Solve for x
    x = 36,506,598,489/88,490
  6. Step 6: Final answer
    x = 412,550.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.