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Finding the Third Proportional to 114,560,238.38 and 255,050,399.25

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Solution

The third proportional to 114,560,238.38 and 255,050,399.25 is: 567,829,703.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,560,238.38 : 255,050,399.25 = 255,050,399.25 : x
  2. Step 2: Convert to fraction form
    114,560,238.38/255,050,399.25 = 255,050,399.25/x
  3. Step 3: Cross multiply
    114,560,238.38x = 255,050,399.25 × 255,050,399.25
  4. Step 4: Simplify right side
    114,560,238.38x = 65,050,706,157,584,400
  5. Step 5: Solve for x
    x = 65,050,706,157,584,400/114,560,238.38
  6. Step 6: Final answer
    x = 567,829,703.22

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.