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Finding the Third Proportional to 272,234,024 and 418,443,204

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Solution

The third proportional to 272,234,024 and 418,443,204 is: 643,177,191.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,234,024 : 418,443,204 = 418,443,204 : x
  2. Step 2: Convert to fraction form
    272,234,024/418,443,204 = 418,443,204/x
  3. Step 3: Cross multiply
    272,234,024x = 418,443,204 × 418,443,204
  4. Step 4: Simplify right side
    272,234,024x = 175,094,714,973,785,600
  5. Step 5: Solve for x
    x = 175,094,714,973,785,600/272,234,024
  6. Step 6: Final answer
    x = 643,177,191.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.