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Finding the Third Proportional to 239,138,740 and 497,363,186

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Solution

The third proportional to 239,138,740 and 497,363,186 is: 1,034,421,017.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,138,740 : 497,363,186 = 497,363,186 : x
  2. Step 2: Convert to fraction form
    239,138,740/497,363,186 = 497,363,186/x
  3. Step 3: Cross multiply
    239,138,740x = 497,363,186 × 497,363,186
  4. Step 4: Simplify right side
    239,138,740x = 247,370,138,788,070,592
  5. Step 5: Solve for x
    x = 247,370,138,788,070,592/239,138,740
  6. Step 6: Final answer
    x = 1,034,421,017.64

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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.