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Finding the Third Proportional to 96,561,001.50 and 206,928,532.50

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Solution

The third proportional to 96,561,001.50 and 206,928,532.50 is: 443,444,215.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,561,001.50 : 206,928,532.50 = 206,928,532.50 : x
  2. Step 2: Convert to fraction form
    96,561,001.50/206,928,532.50 = 206,928,532.50/x
  3. Step 3: Cross multiply
    96,561,001.50x = 206,928,532.50 × 206,928,532.50
  4. Step 4: Simplify right side
    96,561,001.50x = 42,819,417,562,603,560
  5. Step 5: Solve for x
    x = 42,819,417,562,603,560/96,561,001.50
  6. Step 6: Final answer
    x = 443,444,215.55

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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.