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Finding the Third Proportional to 97,738 and 214,178

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Solution

The third proportional to 97,738 and 214,178 is: 469,338.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,738 : 214,178 = 214,178 : x
  2. Step 2: Convert to fraction form
    97,738/214,178 = 214,178/x
  3. Step 3: Cross multiply
    97,738x = 214,178 × 214,178
  4. Step 4: Simplify right side
    97,738x = 45,872,215,684
  5. Step 5: Solve for x
    x = 45,872,215,684/97,738
  6. Step 6: Final answer
    x = 469,338.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.