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Finding the Third Proportional to 46,333.50 and 101,688.75

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Solution

The third proportional to 46,333.50 and 101,688.75 is: 223,177.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,333.50 : 101,688.75 = 101,688.75 : x
  2. Step 2: Convert to fraction form
    46,333.50/101,688.75 = 101,688.75/x
  3. Step 3: Cross multiply
    46,333.50x = 101,688.75 × 101,688.75
  4. Step 4: Simplify right side
    46,333.50x = 10,340,601,876.56
  5. Step 5: Solve for x
    x = 10,340,601,876.56/46,333.50
  6. Step 6: Final answer
    x = 223,177.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.