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Finding the Third Proportional to 98,963.50 and 215,687.50

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Solution

The third proportional to 98,963.50 and 215,687.50 is: 470,083.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,963.50 : 215,687.50 = 215,687.50 : x
  2. Step 2: Convert to fraction form
    98,963.50/215,687.50 = 215,687.50/x
  3. Step 3: Cross multiply
    98,963.50x = 215,687.50 × 215,687.50
  4. Step 4: Simplify right side
    98,963.50x = 46,521,097,656.25
  5. Step 5: Solve for x
    x = 46,521,097,656.25/98,963.50
  6. Step 6: Final answer
    x = 470,083.39

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.