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Finding the Third Proportional to 94,689 and 207,194.63

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Solution

The third proportional to 94,689 and 207,194.63 is: 453,374.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,689 : 207,194.63 = 207,194.63 : x
  2. Step 2: Convert to fraction form
    94,689/207,194.63 = 207,194.63/x
  3. Step 3: Cross multiply
    94,689x = 207,194.63 × 207,194.63
  4. Step 4: Simplify right side
    94,689x = 42,929,612,628.89
  5. Step 5: Solve for x
    x = 42,929,612,628.89/94,689
  6. Step 6: Final answer
    x = 453,374.87

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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.