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Finding the Third Proportional to 46,147.50 and 108,875.25

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Solution

The third proportional to 46,147.50 and 108,875.25 is: 256,868.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,147.50 : 108,875.25 = 108,875.25 : x
  2. Step 2: Convert to fraction form
    46,147.50/108,875.25 = 108,875.25/x
  3. Step 3: Cross multiply
    46,147.50x = 108,875.25 × 108,875.25
  4. Step 4: Simplify right side
    46,147.50x = 11,853,820,062.56
  5. Step 5: Solve for x
    x = 11,853,820,062.56/46,147.50
  6. Step 6: Final answer
    x = 256,868.09

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.