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Finding the Third Proportional to 46,803.19 and 100,986.94

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Solution

The third proportional to 46,803.19 and 100,986.94 is: 217,898.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,803.19 : 100,986.94 = 100,986.94 : x
  2. Step 2: Convert to fraction form
    46,803.19/100,986.94 = 100,986.94/x
  3. Step 3: Cross multiply
    46,803.19x = 100,986.94 × 100,986.94
  4. Step 4: Simplify right side
    46,803.19x = 10,198,361,545.63
  5. Step 5: Solve for x
    x = 10,198,361,545.63/46,803.19
  6. Step 6: Final answer
    x = 217,898.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.