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Finding the Third Proportional to 96,261 and 209,305.50

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Solution

The third proportional to 96,261 and 209,305.50 is: 455,104.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,261 : 209,305.50 = 209,305.50 : x
  2. Step 2: Convert to fraction form
    96,261/209,305.50 = 209,305.50/x
  3. Step 3: Cross multiply
    96,261x = 209,305.50 × 209,305.50
  4. Step 4: Simplify right side
    96,261x = 43,808,792,330.25
  5. Step 5: Solve for x
    x = 43,808,792,330.25/96,261
  6. Step 6: Final answer
    x = 455,104.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.