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Finding the Third Proportional to 172,397,650 and 383,059,046

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Solution

The third proportional to 172,397,650 and 383,059,046 is: 851,138,241.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,397,650 : 383,059,046 = 383,059,046 : x
  2. Step 2: Convert to fraction form
    172,397,650/383,059,046 = 383,059,046/x
  3. Step 3: Cross multiply
    172,397,650x = 383,059,046 × 383,059,046
  4. Step 4: Simplify right side
    172,397,650x = 146,734,232,722,430,112
  5. Step 5: Solve for x
    x = 146,734,232,722,430,112/172,397,650
  6. Step 6: Final answer
    x = 851,138,241.86

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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.