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Finding the Third Proportional to 49,869.84 and 108,216.84

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Solution

The third proportional to 49,869.84 and 108,216.84 is: 234,828.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,869.84 : 108,216.84 = 108,216.84 : x
  2. Step 2: Convert to fraction form
    49,869.84/108,216.84 = 108,216.84/x
  3. Step 3: Cross multiply
    49,869.84x = 108,216.84 × 108,216.84
  4. Step 4: Simplify right side
    49,869.84x = 11,710,885,271.21
  5. Step 5: Solve for x
    x = 11,710,885,271.21/49,869.84
  6. Step 6: Final answer
    x = 234,828.99

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.