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Finding the Third Proportional to 86,312.46 and 188,306.96

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Solution

The third proportional to 86,312.46 and 188,306.96 is: 410,827.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,312.46 : 188,306.96 = 188,306.96 : x
  2. Step 2: Convert to fraction form
    86,312.46/188,306.96 = 188,306.96/x
  3. Step 3: Cross multiply
    86,312.46x = 188,306.96 × 188,306.96
  4. Step 4: Simplify right side
    86,312.46x = 35,459,513,008.67
  5. Step 5: Solve for x
    x = 35,459,513,008.67/86,312.46
  6. Step 6: Final answer
    x = 410,827.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.