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Finding the Third Proportional to 46,266.75 and 95,809.50

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Solution

The third proportional to 46,266.75 and 95,809.50 is: 198,402.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,266.75 : 95,809.50 = 95,809.50 : x
  2. Step 2: Convert to fraction form
    46,266.75/95,809.50 = 95,809.50/x
  3. Step 3: Cross multiply
    46,266.75x = 95,809.50 × 95,809.50
  4. Step 4: Simplify right side
    46,266.75x = 9,179,460,290.25
  5. Step 5: Solve for x
    x = 9,179,460,290.25/46,266.75
  6. Step 6: Final answer
    x = 198,402.96

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.