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Finding the Third Proportional to 98,973 and 207,669

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Solution

The third proportional to 98,973 and 207,669 is: 435,739.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,973 : 207,669 = 207,669 : x
  2. Step 2: Convert to fraction form
    98,973/207,669 = 207,669/x
  3. Step 3: Cross multiply
    98,973x = 207,669 × 207,669
  4. Step 4: Simplify right side
    98,973x = 43,126,413,561
  5. Step 5: Solve for x
    x = 43,126,413,561/98,973
  6. Step 6: Final answer
    x = 435,739.18

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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.