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Finding the Third Proportional to 97,160 and 210,234.75

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Solution

The third proportional to 97,160 and 210,234.75 is: 454,905.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,160 : 210,234.75 = 210,234.75 : x
  2. Step 2: Convert to fraction form
    97,160/210,234.75 = 210,234.75/x
  3. Step 3: Cross multiply
    97,160x = 210,234.75 × 210,234.75
  4. Step 4: Simplify right side
    97,160x = 44,198,650,107.56
  5. Step 5: Solve for x
    x = 44,198,650,107.56/97,160
  6. Step 6: Final answer
    x = 454,905.83

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.