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Finding the Third Proportional to 97,064 and 213,674

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Solution

The third proportional to 97,064 and 213,674 is: 470,376.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,064 : 213,674 = 213,674 : x
  2. Step 2: Convert to fraction form
    97,064/213,674 = 213,674/x
  3. Step 3: Cross multiply
    97,064x = 213,674 × 213,674
  4. Step 4: Simplify right side
    97,064x = 45,656,578,276
  5. Step 5: Solve for x
    x = 45,656,578,276/97,064
  6. Step 6: Final answer
    x = 470,376.02

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Why These Related Problems?

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