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Finding the Third Proportional to 46,827 and 101,137.50

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Solution

The third proportional to 46,827 and 101,137.50 is: 218,437.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,827 : 101,137.50 = 101,137.50 : x
  2. Step 2: Convert to fraction form
    46,827/101,137.50 = 101,137.50/x
  3. Step 3: Cross multiply
    46,827x = 101,137.50 × 101,137.50
  4. Step 4: Simplify right side
    46,827x = 10,228,793,906.25
  5. Step 5: Solve for x
    x = 10,228,793,906.25/46,827
  6. Step 6: Final answer
    x = 218,437.95

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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.