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Finding the Third Proportional to 46,030.50 and 100,847.25

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Solution

The third proportional to 46,030.50 and 100,847.25 is: 220,944.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,030.50 : 100,847.25 = 100,847.25 : x
  2. Step 2: Convert to fraction form
    46,030.50/100,847.25 = 100,847.25/x
  3. Step 3: Cross multiply
    46,030.50x = 100,847.25 × 100,847.25
  4. Step 4: Simplify right side
    46,030.50x = 10,170,167,832.56
  5. Step 5: Solve for x
    x = 10,170,167,832.56/46,030.50
  6. Step 6: Final answer
    x = 220,944.11

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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.