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Finding the Third Proportional to 45,242.72 and 97,497.84

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Solution

The third proportional to 45,242.72 and 97,497.84 is: 210,107.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,242.72 : 97,497.84 = 97,497.84 : x
  2. Step 2: Convert to fraction form
    45,242.72/97,497.84 = 97,497.84/x
  3. Step 3: Cross multiply
    45,242.72x = 97,497.84 × 97,497.84
  4. Step 4: Simplify right side
    45,242.72x = 9,505,829,535.90
  5. Step 5: Solve for x
    x = 9,505,829,535.90/45,242.72
  6. Step 6: Final answer
    x = 210,107.39

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.