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Finding the Third Proportional to 44,206 and 95,470

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Solution

The third proportional to 44,206 and 95,470 is: 206,182.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,206 : 95,470 = 95,470 : x
  2. Step 2: Convert to fraction form
    44,206/95,470 = 95,470/x
  3. Step 3: Cross multiply
    44,206x = 95,470 × 95,470
  4. Step 4: Simplify right side
    44,206x = 9,114,520,900
  5. Step 5: Solve for x
    x = 9,114,520,900/44,206
  6. Step 6: Final answer
    x = 206,182.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.