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Finding the Third Proportional to 239,138,742 and 497,363,190

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Solution

The third proportional to 239,138,742 and 497,363,190 is: 1,034,421,025.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,138,742 : 497,363,190 = 497,363,190 : x
  2. Step 2: Convert to fraction form
    239,138,742/497,363,190 = 497,363,190/x
  3. Step 3: Cross multiply
    239,138,742x = 497,363,190 × 497,363,190
  4. Step 4: Simplify right side
    239,138,742x = 247,370,142,766,976,096
  5. Step 5: Solve for x
    x = 247,370,142,766,976,096/239,138,742
  6. Step 6: Final answer
    x = 1,034,421,025.63

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Why These Related Problems?

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