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Finding the Third Proportional to 98,964 and 207,649

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Solution

The third proportional to 98,964 and 207,649 is: 435,694.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,964 : 207,649 = 207,649 : x
  2. Step 2: Convert to fraction form
    98,964/207,649 = 207,649/x
  3. Step 3: Cross multiply
    98,964x = 207,649 × 207,649
  4. Step 4: Simplify right side
    98,964x = 43,118,107,201
  5. Step 5: Solve for x
    x = 43,118,107,201/98,964
  6. Step 6: Final answer
    x = 435,694.87

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.