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Finding the Third Proportional to 172,397,998 and 383,059,720

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Solution

The third proportional to 172,397,998 and 383,059,720 is: 851,139,518.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,397,998 : 383,059,720 = 383,059,720 : x
  2. Step 2: Convert to fraction form
    172,397,998/383,059,720 = 383,059,720/x
  3. Step 3: Cross multiply
    172,397,998x = 383,059,720 × 383,059,720
  4. Step 4: Simplify right side
    172,397,998x = 146,734,749,086,478,400
  5. Step 5: Solve for x
    x = 146,734,749,086,478,400/172,397,998
  6. Step 6: Final answer
    x = 851,139,518.95

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.