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Finding the Third Proportional to 84,999.38 and 198,525.94

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Solution

The third proportional to 84,999.38 and 198,525.94 is: 463,680.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,999.38 : 198,525.94 = 198,525.94 : x
  2. Step 2: Convert to fraction form
    84,999.38/198,525.94 = 198,525.94/x
  3. Step 3: Cross multiply
    84,999.38x = 198,525.94 × 198,525.94
  4. Step 4: Simplify right side
    84,999.38x = 39,412,547,860.25
  5. Step 5: Solve for x
    x = 39,412,547,860.25/84,999.38
  6. Step 6: Final answer
    x = 463,680.44

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.