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Finding the Third Proportional to 145,143,180 and 224,735,040

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Solution

The third proportional to 145,143,180 and 224,735,040 is: 347,972,520.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,143,180 : 224,735,040 = 224,735,040 : x
  2. Step 2: Convert to fraction form
    145,143,180/224,735,040 = 224,735,040/x
  3. Step 3: Cross multiply
    145,143,180x = 224,735,040 × 224,735,040
  4. Step 4: Simplify right side
    145,143,180x = 50,505,838,203,801,600
  5. Step 5: Solve for x
    x = 50,505,838,203,801,600/145,143,180
  6. Step 6: Final answer
    x = 347,972,520.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.