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Finding the Third Proportional to 86,506.88 and 185,946.75

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Solution

The third proportional to 86,506.88 and 185,946.75 is: 399,693.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,506.88 : 185,946.75 = 185,946.75 : x
  2. Step 2: Convert to fraction form
    86,506.88/185,946.75 = 185,946.75/x
  3. Step 3: Cross multiply
    86,506.88x = 185,946.75 × 185,946.75
  4. Step 4: Simplify right side
    86,506.88x = 34,576,193,835.56
  5. Step 5: Solve for x
    x = 34,576,193,835.56/86,506.88
  6. Step 6: Final answer
    x = 399,693.02

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.