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Finding the Third Proportional to 86,947.50 and 183,234.75

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Solution

The third proportional to 86,947.50 and 183,234.75 is: 386,152.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,947.50 : 183,234.75 = 183,234.75 : x
  2. Step 2: Convert to fraction form
    86,947.50/183,234.75 = 183,234.75/x
  3. Step 3: Cross multiply
    86,947.50x = 183,234.75 × 183,234.75
  4. Step 4: Simplify right side
    86,947.50x = 33,574,973,607.56
  5. Step 5: Solve for x
    x = 33,574,973,607.56/86,947.50
  6. Step 6: Final answer
    x = 386,152.26

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.