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Finding the Third Proportional to 46,919.81 and 102,024.56

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Solution

The third proportional to 46,919.81 and 102,024.56 is: 221,846.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,919.81 : 102,024.56 = 102,024.56 : x
  2. Step 2: Convert to fraction form
    46,919.81/102,024.56 = 102,024.56/x
  3. Step 3: Cross multiply
    46,919.81x = 102,024.56 × 102,024.56
  4. Step 4: Simplify right side
    46,919.81x = 10,409,011,353.32
  5. Step 5: Solve for x
    x = 10,409,011,353.32/46,919.81
  6. Step 6: Final answer
    x = 221,846.82

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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.