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Finding the Third Proportional to 45,165.94 and 97,269.19

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Solution

The third proportional to 45,165.94 and 97,269.19 is: 209,478.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,165.94 : 97,269.19 = 97,269.19 : x
  2. Step 2: Convert to fraction form
    45,165.94/97,269.19 = 97,269.19/x
  3. Step 3: Cross multiply
    45,165.94x = 97,269.19 × 97,269.19
  4. Step 4: Simplify right side
    45,165.94x = 9,461,294,836.91
  5. Step 5: Solve for x
    x = 9,461,294,836.91/45,165.94
  6. Step 6: Final answer
    x = 209,478.54

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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.