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Finding the Third Proportional to 114,625,801.69 and 251,770,145.06

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Solution

The third proportional to 114,625,801.69 and 251,770,145.06 is: 553,001,200.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,625,801.69 : 251,770,145.06 = 251,770,145.06 : x
  2. Step 2: Convert to fraction form
    114,625,801.69/251,770,145.06 = 251,770,145.06/x
  3. Step 3: Cross multiply
    114,625,801.69x = 251,770,145.06 × 251,770,145.06
  4. Step 4: Simplify right side
    114,625,801.69x = 63,388,205,944,792,296
  5. Step 5: Solve for x
    x = 63,388,205,944,792,296/114,625,801.69
  6. Step 6: Final answer
    x = 553,001,200.53

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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.