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Finding the Third Proportional to 99,452.81 and 216,219.38

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Solution

The third proportional to 99,452.81 and 216,219.38 is: 470,080.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,452.81 : 216,219.38 = 216,219.38 : x
  2. Step 2: Convert to fraction form
    99,452.81/216,219.38 = 216,219.38/x
  3. Step 3: Cross multiply
    99,452.81x = 216,219.38 × 216,219.38
  4. Step 4: Simplify right side
    99,452.81x = 46,750,818,125.39
  5. Step 5: Solve for x
    x = 46,750,818,125.39/99,452.81
  6. Step 6: Final answer
    x = 470,080.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.