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Finding the Third Proportional to 97,872 and 208,561.50

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Solution

The third proportional to 97,872 and 208,561.50 is: 444,436.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,872 : 208,561.50 = 208,561.50 : x
  2. Step 2: Convert to fraction form
    97,872/208,561.50 = 208,561.50/x
  3. Step 3: Cross multiply
    97,872x = 208,561.50 × 208,561.50
  4. Step 4: Simplify right side
    97,872x = 43,497,899,282.25
  5. Step 5: Solve for x
    x = 43,497,899,282.25/97,872
  6. Step 6: Final answer
    x = 444,436.60

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.