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Finding the Third Proportional to 85,434.19 and 186,951.94

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Solution

The third proportional to 85,434.19 and 186,951.94 is: 409,098.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,434.19 : 186,951.94 = 186,951.94 : x
  2. Step 2: Convert to fraction form
    85,434.19/186,951.94 = 186,951.94/x
  3. Step 3: Cross multiply
    85,434.19x = 186,951.94 × 186,951.94
  4. Step 4: Simplify right side
    85,434.19x = 34,951,026,935.00
  5. Step 5: Solve for x
    x = 34,951,026,935.00/85,434.19
  6. Step 6: Final answer
    x = 409,098.84

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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.