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Finding the Third Proportional to 86,617 and 189,785

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Solution

The third proportional to 86,617 and 189,785 is: 415,834.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,617 : 189,785 = 189,785 : x
  2. Step 2: Convert to fraction form
    86,617/189,785 = 189,785/x
  3. Step 3: Cross multiply
    86,617x = 189,785 × 189,785
  4. Step 4: Simplify right side
    86,617x = 36,018,346,225
  5. Step 5: Solve for x
    x = 36,018,346,225/86,617
  6. Step 6: Final answer
    x = 415,834.61

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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.