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Finding the Third Proportional to 238,034,317 and 367,663,625

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Solution

The third proportional to 238,034,317 and 367,663,625 is: 567,886,777.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,034,317 : 367,663,625 = 367,663,625 : x
  2. Step 2: Convert to fraction form
    238,034,317/367,663,625 = 367,663,625/x
  3. Step 3: Cross multiply
    238,034,317x = 367,663,625 × 367,663,625
  4. Step 4: Simplify right side
    238,034,317x = 135,176,541,148,140,624
  5. Step 5: Solve for x
    x = 135,176,541,148,140,624/238,034,317
  6. Step 6: Final answer
    x = 567,886,777.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.