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Finding the Third Proportional to 86,447.25 and 188,041.50

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Solution

The third proportional to 86,447.25 and 188,041.50 is: 409,031.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,447.25 : 188,041.50 = 188,041.50 : x
  2. Step 2: Convert to fraction form
    86,447.25/188,041.50 = 188,041.50/x
  3. Step 3: Cross multiply
    86,447.25x = 188,041.50 × 188,041.50
  4. Step 4: Simplify right side
    86,447.25x = 35,359,605,722.25
  5. Step 5: Solve for x
    x = 35,359,605,722.25/86,447.25
  6. Step 6: Final answer
    x = 409,031.01

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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.