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Finding the Third Proportional to 46,202.48 and 99,306.84

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Solution

The third proportional to 46,202.48 and 99,306.84 is: 213,448.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,202.48 : 99,306.84 = 99,306.84 : x
  2. Step 2: Convert to fraction form
    46,202.48/99,306.84 = 99,306.84/x
  3. Step 3: Cross multiply
    46,202.48x = 99,306.84 × 99,306.84
  4. Step 4: Simplify right side
    46,202.48x = 9,861,849,215.59
  5. Step 5: Solve for x
    x = 9,861,849,215.59/46,202.48
  6. Step 6: Final answer
    x = 213,448.46

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.