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Finding the Third Proportional to 88,896 and 209,835

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Solution

The third proportional to 88,896 and 209,835 is: 495,306.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,896 : 209,835 = 209,835 : x
  2. Step 2: Convert to fraction form
    88,896/209,835 = 209,835/x
  3. Step 3: Cross multiply
    88,896x = 209,835 × 209,835
  4. Step 4: Simplify right side
    88,896x = 44,030,727,225
  5. Step 5: Solve for x
    x = 44,030,727,225/88,896
  6. Step 6: Final answer
    x = 495,306.06

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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.