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Finding the Third Proportional to 141,472,224 and 224,962,672

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Solution

The third proportional to 141,472,224 and 224,962,672 is: 357,725,370.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,472,224 : 224,962,672 = 224,962,672 : x
  2. Step 2: Convert to fraction form
    141,472,224/224,962,672 = 224,962,672/x
  3. Step 3: Cross multiply
    141,472,224x = 224,962,672 × 224,962,672
  4. Step 4: Simplify right side
    141,472,224x = 50,608,203,793,379,584
  5. Step 5: Solve for x
    x = 50,608,203,793,379,584/141,472,224
  6. Step 6: Final answer
    x = 357,725,370.84

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.