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Finding the Third Proportional to 45,865 and 98,511.75

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Solution

The third proportional to 45,865 and 98,511.75 is: 211,589.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,865 : 98,511.75 = 98,511.75 : x
  2. Step 2: Convert to fraction form
    45,865/98,511.75 = 98,511.75/x
  3. Step 3: Cross multiply
    45,865x = 98,511.75 × 98,511.75
  4. Step 4: Simplify right side
    45,865x = 9,704,564,888.06
  5. Step 5: Solve for x
    x = 9,704,564,888.06/45,865
  6. Step 6: Final answer
    x = 211,589.77

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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.