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Finding the Third Proportional to 97,094 and 210,796

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Solution

The third proportional to 97,094 and 210,796 is: 457,648.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,094 : 210,796 = 210,796 : x
  2. Step 2: Convert to fraction form
    97,094/210,796 = 210,796/x
  3. Step 3: Cross multiply
    97,094x = 210,796 × 210,796
  4. Step 4: Simplify right side
    97,094x = 44,434,953,616
  5. Step 5: Solve for x
    x = 44,434,953,616/97,094
  6. Step 6: Final answer
    x = 457,648.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.