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Finding the Third Proportional to 97,490 and 212,608

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Solution

The third proportional to 97,490 and 212,608 is: 463,659.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,490 : 212,608 = 212,608 : x
  2. Step 2: Convert to fraction form
    97,490/212,608 = 212,608/x
  3. Step 3: Cross multiply
    97,490x = 212,608 × 212,608
  4. Step 4: Simplify right side
    97,490x = 45,202,161,664
  5. Step 5: Solve for x
    x = 45,202,161,664/97,490
  6. Step 6: Final answer
    x = 463,659.47

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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.