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Finding the Third Proportional to 97,653 and 212,622

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Solution

The third proportional to 97,653 and 212,622 is: 462,946.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,653 : 212,622 = 212,622 : x
  2. Step 2: Convert to fraction form
    97,653/212,622 = 212,622/x
  3. Step 3: Cross multiply
    97,653x = 212,622 × 212,622
  4. Step 4: Simplify right side
    97,653x = 45,208,114,884
  5. Step 5: Solve for x
    x = 45,208,114,884/97,653
  6. Step 6: Final answer
    x = 462,946.50

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Why These Related Problems?

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