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Finding the Third Proportional to 96,537 and 212,721

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Solution

The third proportional to 96,537 and 212,721 is: 468,734.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,537 : 212,721 = 212,721 : x
  2. Step 2: Convert to fraction form
    96,537/212,721 = 212,721/x
  3. Step 3: Cross multiply
    96,537x = 212,721 × 212,721
  4. Step 4: Simplify right side
    96,537x = 45,250,223,841
  5. Step 5: Solve for x
    x = 45,250,223,841/96,537
  6. Step 6: Final answer
    x = 468,734.51

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.