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Finding the Third Proportional to 46,489.50 and 98,793

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Solution

The third proportional to 46,489.50 and 98,793 is: 209,941.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,489.50 : 98,793 = 98,793 : x
  2. Step 2: Convert to fraction form
    46,489.50/98,793 = 98,793/x
  3. Step 3: Cross multiply
    46,489.50x = 98,793 × 98,793
  4. Step 4: Simplify right side
    46,489.50x = 9,760,056,849
  5. Step 5: Solve for x
    x = 9,760,056,849/46,489.50
  6. Step 6: Final answer
    x = 209,941.10

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.