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Finding the Third Proportional to 85,215 and 133,384.50

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Solution

The third proportional to 85,215 and 133,384.50 is: 208,782.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,215 : 133,384.50 = 133,384.50 : x
  2. Step 2: Convert to fraction form
    85,215/133,384.50 = 133,384.50/x
  3. Step 3: Cross multiply
    85,215x = 133,384.50 × 133,384.50
  4. Step 4: Simplify right side
    85,215x = 17,791,424,840.25
  5. Step 5: Solve for x
    x = 17,791,424,840.25/85,215
  6. Step 6: Final answer
    x = 208,782.78

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.