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Finding the Third Proportional to 50,802.19 and 108,609.61

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Solution

The third proportional to 50,802.19 and 108,609.61 is: 232,195.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,802.19 : 108,609.61 = 108,609.61 : x
  2. Step 2: Convert to fraction form
    50,802.19/108,609.61 = 108,609.61/x
  3. Step 3: Cross multiply
    50,802.19x = 108,609.61 × 108,609.61
  4. Step 4: Simplify right side
    50,802.19x = 11,796,047,248.59
  5. Step 5: Solve for x
    x = 11,796,047,248.59/50,802.19
  6. Step 6: Final answer
    x = 232,195.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.