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Finding the Third Proportional to 97,751 and 212,997.50

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Solution

The third proportional to 97,751 and 212,997.50 is: 464,117.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,751 : 212,997.50 = 212,997.50 : x
  2. Step 2: Convert to fraction form
    97,751/212,997.50 = 212,997.50/x
  3. Step 3: Cross multiply
    97,751x = 212,997.50 × 212,997.50
  4. Step 4: Simplify right side
    97,751x = 45,367,935,006.25
  5. Step 5: Solve for x
    x = 45,367,935,006.25/97,751
  6. Step 6: Final answer
    x = 464,117.35

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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.