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Finding the Third Proportional to 46,765.69 and 96,857.44

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Solution

The third proportional to 46,765.69 and 96,857.44 is: 200,603.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,765.69 : 96,857.44 = 96,857.44 : x
  2. Step 2: Convert to fraction form
    46,765.69/96,857.44 = 96,857.44/x
  3. Step 3: Cross multiply
    46,765.69x = 96,857.44 × 96,857.44
  4. Step 4: Simplify right side
    46,765.69x = 9,381,363,199.07
  5. Step 5: Solve for x
    x = 9,381,363,199.07/46,765.69
  6. Step 6: Final answer
    x = 200,603.56

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.