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Finding the Third Proportional to 96,810 and 209,710.50

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Solution

The third proportional to 96,810 and 209,710.50 is: 454,276.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,810 : 209,710.50 = 209,710.50 : x
  2. Step 2: Convert to fraction form
    96,810/209,710.50 = 209,710.50/x
  3. Step 3: Cross multiply
    96,810x = 209,710.50 × 209,710.50
  4. Step 4: Simplify right side
    96,810x = 43,978,493,810.25
  5. Step 5: Solve for x
    x = 43,978,493,810.25/96,810
  6. Step 6: Final answer
    x = 454,276.35

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