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Finding the Third Proportional to 105,113.25 and 229,788

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Solution

The third proportional to 105,113.25 and 229,788 is: 502,339.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,113.25 : 229,788 = 229,788 : x
  2. Step 2: Convert to fraction form
    105,113.25/229,788 = 229,788/x
  3. Step 3: Cross multiply
    105,113.25x = 229,788 × 229,788
  4. Step 4: Simplify right side
    105,113.25x = 52,802,524,944
  5. Step 5: Solve for x
    x = 52,802,524,944/105,113.25
  6. Step 6: Final answer
    x = 502,339.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.