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Finding the Third Proportional to 46,284.75 and 99,778.50

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Solution

The third proportional to 46,284.75 and 99,778.50 is: 215,097.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,284.75 : 99,778.50 = 99,778.50 : x
  2. Step 2: Convert to fraction form
    46,284.75/99,778.50 = 99,778.50/x
  3. Step 3: Cross multiply
    46,284.75x = 99,778.50 × 99,778.50
  4. Step 4: Simplify right side
    46,284.75x = 9,955,749,062.25
  5. Step 5: Solve for x
    x = 9,955,749,062.25/46,284.75
  6. Step 6: Final answer
    x = 215,097.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.