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Finding the Third Proportional to 78,639,826 and 172,396,188

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Solution

The third proportional to 78,639,826 and 172,396,188 is: 377,931,223.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,639,826 : 172,396,188 = 172,396,188 : x
  2. Step 2: Convert to fraction form
    78,639,826/172,396,188 = 172,396,188/x
  3. Step 3: Cross multiply
    78,639,826x = 172,396,188 × 172,396,188
  4. Step 4: Simplify right side
    78,639,826x = 29,720,445,636,931,344
  5. Step 5: Solve for x
    x = 29,720,445,636,931,344/78,639,826
  6. Step 6: Final answer
    x = 377,931,223.26

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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.