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Finding the Third Proportional to 32,099.63 and 77,330.81

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Solution

The third proportional to 32,099.63 and 77,330.81 is: 186,296.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,099.63 : 77,330.81 = 77,330.81 : x
  2. Step 2: Convert to fraction form
    32,099.63/77,330.81 = 77,330.81/x
  3. Step 3: Cross multiply
    32,099.63x = 77,330.81 × 77,330.81
  4. Step 4: Simplify right side
    32,099.63x = 5,980,054,561.91
  5. Step 5: Solve for x
    x = 5,980,054,561.91/32,099.63
  6. Step 6: Final answer
    x = 186,296.71

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.