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Finding the Third Proportional to 100,214.72 and 236,537.72

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Solution

The third proportional to 100,214.72 and 236,537.72 is: 558,302.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,214.72 : 236,537.72 = 236,537.72 : x
  2. Step 2: Convert to fraction form
    100,214.72/236,537.72 = 236,537.72/x
  3. Step 3: Cross multiply
    100,214.72x = 236,537.72 × 236,537.72
  4. Step 4: Simplify right side
    100,214.72x = 55,950,092,391.45
  5. Step 5: Solve for x
    x = 55,950,092,391.45/100,214.72
  6. Step 6: Final answer
    x = 558,302.14

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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.