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Finding the Third Proportional to 88,381.13 and 190,768.50

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Solution

The third proportional to 88,381.13 and 190,768.50 is: 411,769.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,381.13 : 190,768.50 = 190,768.50 : x
  2. Step 2: Convert to fraction form
    88,381.13/190,768.50 = 190,768.50/x
  3. Step 3: Cross multiply
    88,381.13x = 190,768.50 × 190,768.50
  4. Step 4: Simplify right side
    88,381.13x = 36,392,620,592.25
  5. Step 5: Solve for x
    x = 36,392,620,592.25/88,381.13
  6. Step 6: Final answer
    x = 411,769.15

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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.