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Finding the Third Proportional to 30,898.13 and 67,808.81

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Solution

The third proportional to 30,898.13 and 67,808.81 is: 148,812.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,898.13 : 67,808.81 = 67,808.81 : x
  2. Step 2: Convert to fraction form
    30,898.13/67,808.81 = 67,808.81/x
  3. Step 3: Cross multiply
    30,898.13x = 67,808.81 × 67,808.81
  4. Step 4: Simplify right side
    30,898.13x = 4,598,035,052.66
  5. Step 5: Solve for x
    x = 4,598,035,052.66/30,898.13
  6. Step 6: Final answer
    x = 148,812.75

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.