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Finding the Third Proportional to 238,034,319 and 367,663,628

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Solution

The third proportional to 238,034,319 and 367,663,628 is: 567,886,781.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,034,319 : 367,663,628 = 367,663,628 : x
  2. Step 2: Convert to fraction form
    238,034,319/367,663,628 = 367,663,628/x
  3. Step 3: Cross multiply
    238,034,319x = 367,663,628 × 367,663,628
  4. Step 4: Simplify right side
    238,034,319x = 135,176,543,354,122,384
  5. Step 5: Solve for x
    x = 135,176,543,354,122,384/238,034,319
  6. Step 6: Final answer
    x = 567,886,781.71

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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.