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Finding the Third Proportional to 106,213 and 229,853

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Solution

The third proportional to 106,213 and 229,853 is: 497,419.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,213 : 229,853 = 229,853 : x
  2. Step 2: Convert to fraction form
    106,213/229,853 = 229,853/x
  3. Step 3: Cross multiply
    106,213x = 229,853 × 229,853
  4. Step 4: Simplify right side
    106,213x = 52,832,401,609
  5. Step 5: Solve for x
    x = 52,832,401,609/106,213
  6. Step 6: Final answer
    x = 497,419.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.