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Finding the Third Proportional to 36,299.81 and 77,852.06

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Solution

The third proportional to 36,299.81 and 77,852.06 is: 166,969.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,299.81 : 77,852.06 = 77,852.06 : x
  2. Step 2: Convert to fraction form
    36,299.81/77,852.06 = 77,852.06/x
  3. Step 3: Cross multiply
    36,299.81x = 77,852.06 × 77,852.06
  4. Step 4: Simplify right side
    36,299.81x = 6,060,943,635.50
  5. Step 5: Solve for x
    x = 6,060,943,635.50/36,299.81
  6. Step 6: Final answer
    x = 166,969.01

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.