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Finding the Third Proportional to 88,288.50 and 191,310

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Solution

The third proportional to 88,288.50 and 191,310 is: 414,544.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,288.50 : 191,310 = 191,310 : x
  2. Step 2: Convert to fraction form
    88,288.50/191,310 = 191,310/x
  3. Step 3: Cross multiply
    88,288.50x = 191,310 × 191,310
  4. Step 4: Simplify right side
    88,288.50x = 36,599,516,100
  5. Step 5: Solve for x
    x = 36,599,516,100/88,288.50
  6. Step 6: Final answer
    x = 414,544.55

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.