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Finding the Third Proportional to 97,333.31 and 211,188.94

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Solution

The third proportional to 97,333.31 and 211,188.94 is: 458,227.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,333.31 : 211,188.94 = 211,188.94 : x
  2. Step 2: Convert to fraction form
    97,333.31/211,188.94 = 211,188.94/x
  3. Step 3: Cross multiply
    97,333.31x = 211,188.94 × 211,188.94
  4. Step 4: Simplify right side
    97,333.31x = 44,600,767,322.38
  5. Step 5: Solve for x
    x = 44,600,767,322.38/97,333.31
  6. Step 6: Final answer
    x = 458,227.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.