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Finding the Third Proportional to 114,625,824 and 251,770,188

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Solution

The third proportional to 114,625,824 and 251,770,188 is: 553,001,281.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,625,824 : 251,770,188 = 251,770,188 : x
  2. Step 2: Convert to fraction form
    114,625,824/251,770,188 = 251,770,188/x
  3. Step 3: Cross multiply
    114,625,824x = 251,770,188 × 251,770,188
  4. Step 4: Simplify right side
    114,625,824x = 63,388,227,565,555,344
  5. Step 5: Solve for x
    x = 63,388,227,565,555,344/114,625,824
  6. Step 6: Final answer
    x = 553,001,281.50

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.