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Finding the Third Proportional to 88,931.25 and 209,925.84

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Solution

The third proportional to 88,931.25 and 209,925.84 is: 495,538.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,931.25 : 209,925.84 = 209,925.84 : x
  2. Step 2: Convert to fraction form
    88,931.25/209,925.84 = 209,925.84/x
  3. Step 3: Cross multiply
    88,931.25x = 209,925.84 × 209,925.84
  4. Step 4: Simplify right side
    88,931.25x = 44,068,859,874.15
  5. Step 5: Solve for x
    x = 44,068,859,874.15/88,931.25
  6. Step 6: Final answer
    x = 495,538.52

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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.