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Finding the Third Proportional to 46,132.50 and 100,881.75

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Solution

The third proportional to 46,132.50 and 100,881.75 is: 220,606.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,132.50 : 100,881.75 = 100,881.75 : x
  2. Step 2: Convert to fraction form
    46,132.50/100,881.75 = 100,881.75/x
  3. Step 3: Cross multiply
    46,132.50x = 100,881.75 × 100,881.75
  4. Step 4: Simplify right side
    46,132.50x = 10,177,127,483.06
  5. Step 5: Solve for x
    x = 10,177,127,483.06/46,132.50
  6. Step 6: Final answer
    x = 220,606.46

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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.