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Finding the Third Proportional to 97,690.50 and 212,876.25

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Solution

The third proportional to 97,690.50 and 212,876.25 is: 463,876.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,690.50 : 212,876.25 = 212,876.25 : x
  2. Step 2: Convert to fraction form
    97,690.50/212,876.25 = 212,876.25/x
  3. Step 3: Cross multiply
    97,690.50x = 212,876.25 × 212,876.25
  4. Step 4: Simplify right side
    97,690.50x = 45,316,297,814.06
  5. Step 5: Solve for x
    x = 45,316,297,814.06/97,690.50
  6. Step 6: Final answer
    x = 463,876.20

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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.