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Finding the Third Proportional to 40,901.63 and 89,194.50

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Solution

The third proportional to 40,901.63 and 89,194.50 is: 194,507.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,901.63 : 89,194.50 = 89,194.50 : x
  2. Step 2: Convert to fraction form
    40,901.63/89,194.50 = 89,194.50/x
  3. Step 3: Cross multiply
    40,901.63x = 89,194.50 × 89,194.50
  4. Step 4: Simplify right side
    40,901.63x = 7,955,658,830.25
  5. Step 5: Solve for x
    x = 7,955,658,830.25/40,901.63
  6. Step 6: Final answer
    x = 194,507.16

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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.