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Finding the Third Proportional to 104,854.50 and 216,945

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Solution

The third proportional to 104,854.50 and 216,945 is: 448,861.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,854.50 : 216,945 = 216,945 : x
  2. Step 2: Convert to fraction form
    104,854.50/216,945 = 216,945/x
  3. Step 3: Cross multiply
    104,854.50x = 216,945 × 216,945
  4. Step 4: Simplify right side
    104,854.50x = 47,065,133,025
  5. Step 5: Solve for x
    x = 47,065,133,025/104,854.50
  6. Step 6: Final answer
    x = 448,861.36

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.