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Finding the Third Proportional to 88,898.50 and 209,853

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Solution

The third proportional to 88,898.50 and 209,853 is: 495,377.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,898.50 : 209,853 = 209,853 : x
  2. Step 2: Convert to fraction form
    88,898.50/209,853 = 209,853/x
  3. Step 3: Cross multiply
    88,898.50x = 209,853 × 209,853
  4. Step 4: Simplify right side
    88,898.50x = 44,038,281,609
  5. Step 5: Solve for x
    x = 44,038,281,609/88,898.50
  6. Step 6: Final answer
    x = 495,377.11

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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.