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Finding the Third Proportional to 43,287.75 and 93,298.50

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Solution

The third proportional to 43,287.75 and 93,298.50 is: 201,087.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,287.75 : 93,298.50 = 93,298.50 : x
  2. Step 2: Convert to fraction form
    43,287.75/93,298.50 = 93,298.50/x
  3. Step 3: Cross multiply
    43,287.75x = 93,298.50 × 93,298.50
  4. Step 4: Simplify right side
    43,287.75x = 8,704,610,102.25
  5. Step 5: Solve for x
    x = 8,704,610,102.25/43,287.75
  6. Step 6: Final answer
    x = 201,087.15

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.