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Finding the Third Proportional to 52,932,291 and 114,658,266

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Solution

The third proportional to 52,932,291 and 114,658,266 is: 248,364,801.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,932,291 : 114,658,266 = 114,658,266 : x
  2. Step 2: Convert to fraction form
    52,932,291/114,658,266 = 114,658,266/x
  3. Step 3: Cross multiply
    52,932,291x = 114,658,266 × 114,658,266
  4. Step 4: Simplify right side
    52,932,291x = 13,146,517,962,126,756
  5. Step 5: Solve for x
    x = 13,146,517,962,126,756/52,932,291
  6. Step 6: Final answer
    x = 248,364,801.78

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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.