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Finding the Third Proportional to 86,581.13 and 186,117.19

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Solution

The third proportional to 86,581.13 and 186,117.19 is: 400,082.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,581.13 : 186,117.19 = 186,117.19 : x
  2. Step 2: Convert to fraction form
    86,581.13/186,117.19 = 186,117.19/x
  3. Step 3: Cross multiply
    86,581.13x = 186,117.19 × 186,117.19
  4. Step 4: Simplify right side
    86,581.13x = 34,639,607,482.91
  5. Step 5: Solve for x
    x = 34,639,607,482.91/86,581.13
  6. Step 6: Final answer
    x = 400,082.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.