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Finding the Third Proportional to 231,740,180 and 503,338,444

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Solution

The third proportional to 231,740,180 and 503,338,444 is: 1,093,248,435.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,740,180 : 503,338,444 = 503,338,444 : x
  2. Step 2: Convert to fraction form
    231,740,180/503,338,444 = 503,338,444/x
  3. Step 3: Cross multiply
    231,740,180x = 503,338,444 × 503,338,444
  4. Step 4: Simplify right side
    231,740,180x = 253,349,589,208,341,120
  5. Step 5: Solve for x
    x = 253,349,589,208,341,120/231,740,180
  6. Step 6: Final answer
    x = 1,093,248,435.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.