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Finding the Third Proportional to 172,397,694 and 383,059,140

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Solution

The third proportional to 172,397,694 and 383,059,140 is: 851,138,442.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,397,694 : 383,059,140 = 383,059,140 : x
  2. Step 2: Convert to fraction form
    172,397,694/383,059,140 = 383,059,140/x
  3. Step 3: Cross multiply
    172,397,694x = 383,059,140 × 383,059,140
  4. Step 4: Simplify right side
    172,397,694x = 146,734,304,737,539,584
  5. Step 5: Solve for x
    x = 146,734,304,737,539,584/172,397,694
  6. Step 6: Final answer
    x = 851,138,442.36

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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.