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Finding the Third Proportional to 98,760,576 and 217,070,199

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Solution

The third proportional to 98,760,576 and 217,070,199 is: 477,108,105.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,760,576 : 217,070,199 = 217,070,199 : x
  2. Step 2: Convert to fraction form
    98,760,576/217,070,199 = 217,070,199/x
  3. Step 3: Cross multiply
    98,760,576x = 217,070,199 × 217,070,199
  4. Step 4: Simplify right side
    98,760,576x = 47,119,471,293,899,600
  5. Step 5: Solve for x
    x = 47,119,471,293,899,600/98,760,576
  6. Step 6: Final answer
    x = 477,108,105.30

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.