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Finding the Third Proportional to 88,508.25 and 191,785.50

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Solution

The third proportional to 88,508.25 and 191,785.50 is: 415,573.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,508.25 : 191,785.50 = 191,785.50 : x
  2. Step 2: Convert to fraction form
    88,508.25/191,785.50 = 191,785.50/x
  3. Step 3: Cross multiply
    88,508.25x = 191,785.50 × 191,785.50
  4. Step 4: Simplify right side
    88,508.25x = 36,781,678,010.25
  5. Step 5: Solve for x
    x = 36,781,678,010.25/88,508.25
  6. Step 6: Final answer
    x = 415,573.44

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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.