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Finding the Third Proportional to 97,083.56 and 211,816.90

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Solution

The third proportional to 97,083.56 and 211,816.90 is: 462,142.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,083.56 : 211,816.90 = 211,816.90 : x
  2. Step 2: Convert to fraction form
    97,083.56/211,816.90 = 211,816.90/x
  3. Step 3: Cross multiply
    97,083.56x = 211,816.90 × 211,816.90
  4. Step 4: Simplify right side
    97,083.56x = 44,866,398,463.68
  5. Step 5: Solve for x
    x = 44,866,398,463.68/97,083.56
  6. Step 6: Final answer
    x = 462,142.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.