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Finding the Third Proportional to 97,407 and 212,679

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Solution

The third proportional to 97,407 and 212,679 is: 464,364.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,407 : 212,679 = 212,679 : x
  2. Step 2: Convert to fraction form
    97,407/212,679 = 212,679/x
  3. Step 3: Cross multiply
    97,407x = 212,679 × 212,679
  4. Step 4: Simplify right side
    97,407x = 45,232,357,041
  5. Step 5: Solve for x
    x = 45,232,357,041/97,407
  6. Step 6: Final answer
    x = 464,364.54

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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.