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Finding the Third Proportional to 106,564.99 and 164,691.35

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Solution

The third proportional to 106,564.99 and 164,691.35 is: 254,523.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,564.99 : 164,691.35 = 164,691.35 : x
  2. Step 2: Convert to fraction form
    106,564.99/164,691.35 = 164,691.35/x
  3. Step 3: Cross multiply
    106,564.99x = 164,691.35 × 164,691.35
  4. Step 4: Simplify right side
    106,564.99x = 27,123,241,279.48
  5. Step 5: Solve for x
    x = 27,123,241,279.48/106,564.99
  6. Step 6: Final answer
    x = 254,523.00

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.