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Finding the Third Proportional to 46,140.25 and 100,284.25

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Solution

The third proportional to 46,140.25 and 100,284.25 is: 217,964.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,140.25 : 100,284.25 = 100,284.25 : x
  2. Step 2: Convert to fraction form
    46,140.25/100,284.25 = 100,284.25/x
  3. Step 3: Cross multiply
    46,140.25x = 100,284.25 × 100,284.25
  4. Step 4: Simplify right side
    46,140.25x = 10,056,930,798.06
  5. Step 5: Solve for x
    x = 10,056,930,798.06/46,140.25
  6. Step 6: Final answer
    x = 217,964.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.