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Finding the Third Proportional to 96,845.25 and 210,844.50

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Solution

The third proportional to 96,845.25 and 210,844.50 is: 459,035.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,845.25 : 210,844.50 = 210,844.50 : x
  2. Step 2: Convert to fraction form
    96,845.25/210,844.50 = 210,844.50/x
  3. Step 3: Cross multiply
    96,845.25x = 210,844.50 × 210,844.50
  4. Step 4: Simplify right side
    96,845.25x = 44,455,403,180.25
  5. Step 5: Solve for x
    x = 44,455,403,180.25/96,845.25
  6. Step 6: Final answer
    x = 459,035.45

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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.