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Finding the Third Proportional to 78,639,827 and 172,396,189

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Solution

The third proportional to 78,639,827 and 172,396,189 is: 377,931,222.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,639,827 : 172,396,189 = 172,396,189 : x
  2. Step 2: Convert to fraction form
    78,639,827/172,396,189 = 172,396,189/x
  3. Step 3: Cross multiply
    78,639,827x = 172,396,189 × 172,396,189
  4. Step 4: Simplify right side
    78,639,827x = 29,720,445,981,723,720
  5. Step 5: Solve for x
    x = 29,720,445,981,723,720/78,639,827
  6. Step 6: Final answer
    x = 377,931,222.84

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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.