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Finding the Third Proportional to 86,311.69 and 188,312.06

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Solution

The third proportional to 86,311.69 and 188,312.06 is: 410,853.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,311.69 : 188,312.06 = 188,312.06 : x
  2. Step 2: Convert to fraction form
    86,311.69/188,312.06 = 188,312.06/x
  3. Step 3: Cross multiply
    86,311.69x = 188,312.06 × 188,312.06
  4. Step 4: Simplify right side
    86,311.69x = 35,461,432,883.00
  5. Step 5: Solve for x
    x = 35,461,432,883.00/86,311.69
  6. Step 6: Final answer
    x = 410,853.20

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