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Finding the Third Proportional to 105,346.69 and 232,166.25

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Solution

The third proportional to 105,346.69 and 232,166.25 is: 511,655.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,346.69 : 232,166.25 = 232,166.25 : x
  2. Step 2: Convert to fraction form
    105,346.69/232,166.25 = 232,166.25/x
  3. Step 3: Cross multiply
    105,346.69x = 232,166.25 × 232,166.25
  4. Step 4: Simplify right side
    105,346.69x = 53,901,167,639.06
  5. Step 5: Solve for x
    x = 53,901,167,639.06/105,346.69
  6. Step 6: Final answer
    x = 511,655.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.