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Finding the Third Proportional to 97,150 and 229,006

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Solution

The third proportional to 97,150 and 229,006 is: 539,822.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,150 : 229,006 = 229,006 : x
  2. Step 2: Convert to fraction form
    97,150/229,006 = 229,006/x
  3. Step 3: Cross multiply
    97,150x = 229,006 × 229,006
  4. Step 4: Simplify right side
    97,150x = 52,443,748,036
  5. Step 5: Solve for x
    x = 52,443,748,036/97,150
  6. Step 6: Final answer
    x = 539,822.42

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.