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Finding the Third Proportional to 46,352.25 and 101,725.88

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Solution

The third proportional to 46,352.25 and 101,725.88 is: 223,250.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,352.25 : 101,725.88 = 101,725.88 : x
  2. Step 2: Convert to fraction form
    46,352.25/101,725.88 = 101,725.88/x
  3. Step 3: Cross multiply
    46,352.25x = 101,725.88 × 101,725.88
  4. Step 4: Simplify right side
    46,352.25x = 10,348,153,644.52
  5. Step 5: Solve for x
    x = 10,348,153,644.52/46,352.25
  6. Step 6: Final answer
    x = 223,250.30

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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.