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Finding the Third Proportional to 88,842.94 and 209,727.56

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Solution

The third proportional to 88,842.94 and 209,727.56 is: 495,094.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,842.94 : 209,727.56 = 209,727.56 : x
  2. Step 2: Convert to fraction form
    88,842.94/209,727.56 = 209,727.56/x
  3. Step 3: Cross multiply
    88,842.94x = 209,727.56 × 209,727.56
  4. Step 4: Simplify right side
    88,842.94x = 43,985,650,472.19
  5. Step 5: Solve for x
    x = 43,985,650,472.19/88,842.94
  6. Step 6: Final answer
    x = 495,094.51

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.