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Finding the Third Proportional to 86,538.50 and 186,916.75

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Solution

The third proportional to 86,538.50 and 186,916.75 is: 403,726.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,538.50 : 186,916.75 = 186,916.75 : x
  2. Step 2: Convert to fraction form
    86,538.50/186,916.75 = 186,916.75/x
  3. Step 3: Cross multiply
    86,538.50x = 186,916.75 × 186,916.75
  4. Step 4: Simplify right side
    86,538.50x = 34,937,871,430.56
  5. Step 5: Solve for x
    x = 34,937,871,430.56/86,538.50
  6. Step 6: Final answer
    x = 403,726.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.