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Finding the Third Proportional to 114,116 and 166,948.50

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Solution

The third proportional to 114,116 and 166,948.50 is: 244,240.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,116 : 166,948.50 = 166,948.50 : x
  2. Step 2: Convert to fraction form
    114,116/166,948.50 = 166,948.50/x
  3. Step 3: Cross multiply
    114,116x = 166,948.50 × 166,948.50
  4. Step 4: Simplify right side
    114,116x = 27,871,801,652.25
  5. Step 5: Solve for x
    x = 27,871,801,652.25/114,116
  6. Step 6: Final answer
    x = 244,240.96

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.