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Finding the Third Proportional to 238,034,322 and 367,663,632

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Solution

The third proportional to 238,034,322 and 367,663,632 is: 567,886,786.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,034,322 : 367,663,632 = 367,663,632 : x
  2. Step 2: Convert to fraction form
    238,034,322/367,663,632 = 367,663,632/x
  3. Step 3: Cross multiply
    238,034,322x = 367,663,632 × 367,663,632
  4. Step 4: Simplify right side
    238,034,322x = 135,176,546,295,431,424
  5. Step 5: Solve for x
    x = 135,176,546,295,431,424/238,034,322
  6. Step 6: Final answer
    x = 567,886,786.91

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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.