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Finding the Third Proportional to 100,031.63 and 236,129.34

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Solution

The third proportional to 100,031.63 and 236,129.34 is: 557,394.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,031.63 : 236,129.34 = 236,129.34 : x
  2. Step 2: Convert to fraction form
    100,031.63/236,129.34 = 236,129.34/x
  3. Step 3: Cross multiply
    100,031.63x = 236,129.34 × 236,129.34
  4. Step 4: Simplify right side
    100,031.63x = 55,757,066,979.81
  5. Step 5: Solve for x
    x = 55,757,066,979.81/100,031.63
  6. Step 6: Final answer
    x = 557,394.39

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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.