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Finding the Third Proportional to 97,002.56 and 211,091.06

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Solution

The third proportional to 97,002.56 and 211,091.06 is: 459,363.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,002.56 : 211,091.06 = 211,091.06 : x
  2. Step 2: Convert to fraction form
    97,002.56/211,091.06 = 211,091.06/x
  3. Step 3: Cross multiply
    97,002.56x = 211,091.06 × 211,091.06
  4. Step 4: Simplify right side
    97,002.56x = 44,559,436,667.38
  5. Step 5: Solve for x
    x = 44,559,436,667.38/97,002.56
  6. Step 6: Final answer
    x = 459,363.50

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.