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Finding the Third Proportional to 46,055.14 and 101,387.95

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Solution

The third proportional to 46,055.14 and 101,387.95 is: 223,200.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,055.14 : 101,387.95 = 101,387.95 : x
  2. Step 2: Convert to fraction form
    46,055.14/101,387.95 = 101,387.95/x
  3. Step 3: Cross multiply
    46,055.14x = 101,387.95 × 101,387.95
  4. Step 4: Simplify right side
    46,055.14x = 10,279,517,038.88
  5. Step 5: Solve for x
    x = 10,279,517,038.88/46,055.14
  6. Step 6: Final answer
    x = 223,200.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.