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Finding the Third Proportional to 90,892.13 and 212,285.81

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Solution

The third proportional to 90,892.13 and 212,285.81 is: 495,810.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,892.13 : 212,285.81 = 212,285.81 : x
  2. Step 2: Convert to fraction form
    90,892.13/212,285.81 = 212,285.81/x
  3. Step 3: Cross multiply
    90,892.13x = 212,285.81 × 212,285.81
  4. Step 4: Simplify right side
    90,892.13x = 45,065,266,188.79
  5. Step 5: Solve for x
    x = 45,065,266,188.79/90,892.13
  6. Step 6: Final answer
    x = 495,810.46

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.