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Finding the Third Proportional to 45,244.83 and 97,426.55

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Solution

The third proportional to 45,244.83 and 97,426.55 is: 209,790.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,244.83 : 97,426.55 = 97,426.55 : x
  2. Step 2: Convert to fraction form
    45,244.83/97,426.55 = 97,426.55/x
  3. Step 3: Cross multiply
    45,244.83x = 97,426.55 × 97,426.55
  4. Step 4: Simplify right side
    45,244.83x = 9,491,932,035.99
  5. Step 5: Solve for x
    x = 9,491,932,035.99/45,244.83
  6. Step 6: Final answer
    x = 209,790.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.