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Finding the Third Proportional to 91,945.13 and 164,116.13

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Solution

The third proportional to 91,945.13 and 164,116.13 is: 292,936.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,945.13 : 164,116.13 = 164,116.13 : x
  2. Step 2: Convert to fraction form
    91,945.13/164,116.13 = 164,116.13/x
  3. Step 3: Cross multiply
    91,945.13x = 164,116.13 × 164,116.13
  4. Step 4: Simplify right side
    91,945.13x = 26,934,102,485.02
  5. Step 5: Solve for x
    x = 26,934,102,485.02/91,945.13
  6. Step 6: Final answer
    x = 292,936.71

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.