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Finding the Third Proportional to 239,138,734 and 497,363,174

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Solution

The third proportional to 239,138,734 and 497,363,174 is: 1,034,420,993.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,138,734 : 497,363,174 = 497,363,174 : x
  2. Step 2: Convert to fraction form
    239,138,734/497,363,174 = 497,363,174/x
  3. Step 3: Cross multiply
    239,138,734x = 497,363,174 × 497,363,174
  4. Step 4: Simplify right side
    239,138,734x = 247,370,126,851,354,272
  5. Step 5: Solve for x
    x = 247,370,126,851,354,272/239,138,734
  6. Step 6: Final answer
    x = 1,034,420,993.68

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.