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Finding the Third Proportional to 45,030.94 and 97,989.75

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Solution

The third proportional to 45,030.94 and 97,989.75 is: 213,230.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,030.94 : 97,989.75 = 97,989.75 : x
  2. Step 2: Convert to fraction form
    45,030.94/97,989.75 = 97,989.75/x
  3. Step 3: Cross multiply
    45,030.94x = 97,989.75 × 97,989.75
  4. Step 4: Simplify right side
    45,030.94x = 9,601,991,105.06
  5. Step 5: Solve for x
    x = 9,601,991,105.06/45,030.94
  6. Step 6: Final answer
    x = 213,230.98

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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.