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Finding the Third Proportional to 88,459.50 and 186,904.50

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Solution

The third proportional to 88,459.50 and 186,904.50 is: 394,907.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,459.50 : 186,904.50 = 186,904.50 : x
  2. Step 2: Convert to fraction form
    88,459.50/186,904.50 = 186,904.50/x
  3. Step 3: Cross multiply
    88,459.50x = 186,904.50 × 186,904.50
  4. Step 4: Simplify right side
    88,459.50x = 34,933,292,120.25
  5. Step 5: Solve for x
    x = 34,933,292,120.25/88,459.50
  6. Step 6: Final answer
    x = 394,907.18

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