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Finding the Third Proportional to 97,019.44 and 212,073.19

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Solution

The third proportional to 97,019.44 and 212,073.19 is: 463,567.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,019.44 : 212,073.19 = 212,073.19 : x
  2. Step 2: Convert to fraction form
    97,019.44/212,073.19 = 212,073.19/x
  3. Step 3: Cross multiply
    97,019.44x = 212,073.19 × 212,073.19
  4. Step 4: Simplify right side
    97,019.44x = 44,975,036,856.41
  5. Step 5: Solve for x
    x = 44,975,036,856.41/97,019.44
  6. Step 6: Final answer
    x = 463,567.28

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.