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Finding the Third Proportional to 46,520.50 and 96,977

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Solution

The third proportional to 46,520.50 and 96,977 is: 202,159.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,520.50 : 96,977 = 96,977 : x
  2. Step 2: Convert to fraction form
    46,520.50/96,977 = 96,977/x
  3. Step 3: Cross multiply
    46,520.50x = 96,977 × 96,977
  4. Step 4: Simplify right side
    46,520.50x = 9,404,538,529
  5. Step 5: Solve for x
    x = 9,404,538,529/46,520.50
  6. Step 6: Final answer
    x = 202,159.02

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.