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Finding the Third Proportional to 94,695 and 207,204.75

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Solution

The third proportional to 94,695 and 207,204.75 is: 453,390.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,695 : 207,204.75 = 207,204.75 : x
  2. Step 2: Convert to fraction form
    94,695/207,204.75 = 207,204.75/x
  3. Step 3: Cross multiply
    94,695x = 207,204.75 × 207,204.75
  4. Step 4: Simplify right side
    94,695x = 42,933,808,422.56
  5. Step 5: Solve for x
    x = 42,933,808,422.56/94,695
  6. Step 6: Final answer
    x = 453,390.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.