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Finding the Third Proportional to 45,172.69 and 95,428.13

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Solution

The third proportional to 45,172.69 and 95,428.13 is: 201,593.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,172.69 : 95,428.13 = 95,428.13 : x
  2. Step 2: Convert to fraction form
    45,172.69/95,428.13 = 95,428.13/x
  3. Step 3: Cross multiply
    45,172.69x = 95,428.13 × 95,428.13
  4. Step 4: Simplify right side
    45,172.69x = 9,106,527,041.02
  5. Step 5: Solve for x
    x = 9,106,527,041.02/45,172.69
  6. Step 6: Final answer
    x = 201,593.65

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.