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Finding the Third Proportional to 46,185.50 and 99,278

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Solution

The third proportional to 46,185.50 and 99,278 is: 213,402.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,185.50 : 99,278 = 99,278 : x
  2. Step 2: Convert to fraction form
    46,185.50/99,278 = 99,278/x
  3. Step 3: Cross multiply
    46,185.50x = 99,278 × 99,278
  4. Step 4: Simplify right side
    46,185.50x = 9,856,121,284
  5. Step 5: Solve for x
    x = 9,856,121,284/46,185.50
  6. Step 6: Final answer
    x = 213,402.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.