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Finding the Third Proportional to 133,816.50 and 195,701.06

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Solution

The third proportional to 133,816.50 and 195,701.06 is: 286,204.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,816.50 : 195,701.06 = 195,701.06 : x
  2. Step 2: Convert to fraction form
    133,816.50/195,701.06 = 195,701.06/x
  3. Step 3: Cross multiply
    133,816.50x = 195,701.06 × 195,701.06
  4. Step 4: Simplify right side
    133,816.50x = 38,298,905,863.63
  5. Step 5: Solve for x
    x = 38,298,905,863.63/133,816.50
  6. Step 6: Final answer
    x = 286,204.66

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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.