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Finding the Third Proportional to 46,185.50 and 99,581

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Solution

The third proportional to 46,185.50 and 99,581 is: 214,707.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,185.50 : 99,581 = 99,581 : x
  2. Step 2: Convert to fraction form
    46,185.50/99,581 = 99,581/x
  3. Step 3: Cross multiply
    46,185.50x = 99,581 × 99,581
  4. Step 4: Simplify right side
    46,185.50x = 9,916,375,561
  5. Step 5: Solve for x
    x = 9,916,375,561/46,185.50
  6. Step 6: Final answer
    x = 214,707.55

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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.