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Finding the Third Proportional to 84,191.06 and 187,066.13

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Solution

The third proportional to 84,191.06 and 187,066.13 is: 415,646.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,191.06 : 187,066.13 = 187,066.13 : x
  2. Step 2: Convert to fraction form
    84,191.06/187,066.13 = 187,066.13/x
  3. Step 3: Cross multiply
    84,191.06x = 187,066.13 × 187,066.13
  4. Step 4: Simplify right side
    84,191.06x = 34,993,735,122.52
  5. Step 5: Solve for x
    x = 34,993,735,122.52/84,191.06
  6. Step 6: Final answer
    x = 415,646.67

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.