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Finding the Third Proportional to 110,422,778 and 239,248,272

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Solution

The third proportional to 110,422,778 and 239,248,272 is: 518,368,915.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,422,778 : 239,248,272 = 239,248,272 : x
  2. Step 2: Convert to fraction form
    110,422,778/239,248,272 = 239,248,272/x
  3. Step 3: Cross multiply
    110,422,778x = 239,248,272 × 239,248,272
  4. Step 4: Simplify right side
    110,422,778x = 57,239,735,654,985,984
  5. Step 5: Solve for x
    x = 57,239,735,654,985,984/110,422,778
  6. Step 6: Final answer
    x = 518,368,915.29

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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.