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Finding the Third Proportional to 197,548,794 and 425,439,388.13

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Solution

The third proportional to 197,548,794 and 425,439,388.13 is: 916,222,616.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,548,794 : 425,439,388.13 = 425,439,388.13 : x
  2. Step 2: Convert to fraction form
    197,548,794/425,439,388.13 = 425,439,388.13/x
  3. Step 3: Cross multiply
    197,548,794x = 425,439,388.13 × 425,439,388.13
  4. Step 4: Simplify right side
    197,548,794x = 180,998,672,968,174,400
  5. Step 5: Solve for x
    x = 180,998,672,968,174,400/197,548,794
  6. Step 6: Final answer
    x = 916,222,616.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.