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Finding the Third Proportional to 46,800.84 and 100,982.81

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Solution

The third proportional to 46,800.84 and 100,982.81 is: 217,891.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,800.84 : 100,982.81 = 100,982.81 : x
  2. Step 2: Convert to fraction form
    46,800.84/100,982.81 = 100,982.81/x
  3. Step 3: Cross multiply
    46,800.84x = 100,982.81 × 100,982.81
  4. Step 4: Simplify right side
    46,800.84x = 10,197,528,420.41
  5. Step 5: Solve for x
    x = 10,197,528,420.41/46,800.84
  6. Step 6: Final answer
    x = 217,891.98

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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.