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Finding the Third Proportional to 96,561,006 and 206,928,541

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Solution

The third proportional to 96,561,006 and 206,928,541 is: 443,444,231.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,561,006 : 206,928,541 = 206,928,541 : x
  2. Step 2: Convert to fraction form
    96,561,006/206,928,541 = 206,928,541/x
  3. Step 3: Cross multiply
    96,561,006x = 206,928,541 × 206,928,541
  4. Step 4: Simplify right side
    96,561,006x = 42,819,421,080,388,680
  5. Step 5: Solve for x
    x = 42,819,421,080,388,680/96,561,006
  6. Step 6: Final answer
    x = 443,444,231.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.