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Finding the Third Proportional to 151,048,189 and 233,244,839

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Solution

The third proportional to 151,048,189 and 233,244,839 is: 360,170,851.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,048,189 : 233,244,839 = 233,244,839 : x
  2. Step 2: Convert to fraction form
    151,048,189/233,244,839 = 233,244,839/x
  3. Step 3: Cross multiply
    151,048,189x = 233,244,839 × 233,244,839
  4. Step 4: Simplify right side
    151,048,189x = 54,403,154,920,135,920
  5. Step 5: Solve for x
    x = 54,403,154,920,135,920/151,048,189
  6. Step 6: Final answer
    x = 360,170,851.97

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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.