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Finding the Third Proportional to 90,595.13 and 204,679.69

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Solution

The third proportional to 90,595.13 and 204,679.69 is: 462,428.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,595.13 : 204,679.69 = 204,679.69 : x
  2. Step 2: Convert to fraction form
    90,595.13/204,679.69 = 204,679.69/x
  3. Step 3: Cross multiply
    90,595.13x = 204,679.69 × 204,679.69
  4. Step 4: Simplify right side
    90,595.13x = 41,893,774,475.10
  5. Step 5: Solve for x
    x = 41,893,774,475.10/90,595.13
  6. Step 6: Final answer
    x = 462,428.57

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.