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Finding the Third Proportional to 84,999.38 and 186,117.75

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Solution

The third proportional to 84,999.38 and 186,117.75 is: 407,530.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,999.38 : 186,117.75 = 186,117.75 : x
  2. Step 2: Convert to fraction form
    84,999.38/186,117.75 = 186,117.75/x
  3. Step 3: Cross multiply
    84,999.38x = 186,117.75 × 186,117.75
  4. Step 4: Simplify right side
    84,999.38x = 34,639,816,865.06
  5. Step 5: Solve for x
    x = 34,639,816,865.06/84,999.38
  6. Step 6: Final answer
    x = 407,530.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.