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Finding the Third Proportional to 45,099.69 and 97,426.06

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Solution

The third proportional to 45,099.69 and 97,426.06 is: 210,463.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,099.69 : 97,426.06 = 97,426.06 : x
  2. Step 2: Convert to fraction form
    45,099.69/97,426.06 = 97,426.06/x
  3. Step 3: Cross multiply
    45,099.69x = 97,426.06 × 97,426.06
  4. Step 4: Simplify right side
    45,099.69x = 9,491,837,654.25
  5. Step 5: Solve for x
    x = 9,491,837,654.25/45,099.69
  6. Step 6: Final answer
    x = 210,463.49

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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.