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Finding the Third Proportional to 94,521.09 and 207,677.25

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Solution

The third proportional to 94,521.09 and 207,677.25 is: 456,298.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,521.09 : 207,677.25 = 207,677.25 : x
  2. Step 2: Convert to fraction form
    94,521.09/207,677.25 = 207,677.25/x
  3. Step 3: Cross multiply
    94,521.09x = 207,677.25 × 207,677.25
  4. Step 4: Simplify right side
    94,521.09x = 43,129,840,167.56
  5. Step 5: Solve for x
    x = 43,129,840,167.56/94,521.09
  6. Step 6: Final answer
    x = 456,298.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.