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Finding the Third Proportional to 43,416 and 95,161.50

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Solution

The third proportional to 43,416 and 95,161.50 is: 208,580.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,416 : 95,161.50 = 95,161.50 : x
  2. Step 2: Convert to fraction form
    43,416/95,161.50 = 95,161.50/x
  3. Step 3: Cross multiply
    43,416x = 95,161.50 × 95,161.50
  4. Step 4: Simplify right side
    43,416x = 9,055,711,082.25
  5. Step 5: Solve for x
    x = 9,055,711,082.25/43,416
  6. Step 6: Final answer
    x = 208,580.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.