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Finding the Third Proportional to 97,147.97 and 210,096.19

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Solution

The third proportional to 97,147.97 and 210,096.19 is: 454,362.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,147.97 : 210,096.19 = 210,096.19 : x
  2. Step 2: Convert to fraction form
    97,147.97/210,096.19 = 210,096.19/x
  3. Step 3: Cross multiply
    97,147.97x = 210,096.19 × 210,096.19
  4. Step 4: Simplify right side
    97,147.97x = 44,140,408,002.04
  5. Step 5: Solve for x
    x = 44,140,408,002.04/97,147.97
  6. Step 6: Final answer
    x = 454,362.64

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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.