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Finding the Third Proportional to 45,456.19 and 99,173.81

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Solution

The third proportional to 45,456.19 and 99,173.81 is: 216,371.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,456.19 : 99,173.81 = 99,173.81 : x
  2. Step 2: Convert to fraction form
    45,456.19/99,173.81 = 99,173.81/x
  3. Step 3: Cross multiply
    45,456.19x = 99,173.81 × 99,173.81
  4. Step 4: Simplify right side
    45,456.19x = 9,835,445,085.79
  5. Step 5: Solve for x
    x = 9,835,445,085.79/45,456.19
  6. Step 6: Final answer
    x = 216,371.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.