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Finding the Third Proportional to 45,987.75 and 98,263.13

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Solution

The third proportional to 45,987.75 and 98,263.13 is: 209,961.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,987.75 : 98,263.13 = 98,263.13 : x
  2. Step 2: Convert to fraction form
    45,987.75/98,263.13 = 98,263.13/x
  3. Step 3: Cross multiply
    45,987.75x = 98,263.13 × 98,263.13
  4. Step 4: Simplify right side
    45,987.75x = 9,655,641,734.77
  5. Step 5: Solve for x
    x = 9,655,641,734.77/45,987.75
  6. Step 6: Final answer
    x = 209,961.17

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.