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Finding the Third Proportional to 46,800.28 and 102,143.53

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Solution

The third proportional to 46,800.28 and 102,143.53 is: 222,932.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,800.28 : 102,143.53 = 102,143.53 : x
  2. Step 2: Convert to fraction form
    46,800.28/102,143.53 = 102,143.53/x
  3. Step 3: Cross multiply
    46,800.28x = 102,143.53 × 102,143.53
  4. Step 4: Simplify right side
    46,800.28x = 10,433,300,976.22
  5. Step 5: Solve for x
    x = 10,433,300,976.22/46,800.28
  6. Step 6: Final answer
    x = 222,932.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.