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Finding the Third Proportional to 105,770.81 and 226,302.47

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Solution

The third proportional to 105,770.81 and 226,302.47 is: 484,186.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,770.81 : 226,302.47 = 226,302.47 : x
  2. Step 2: Convert to fraction form
    105,770.81/226,302.47 = 226,302.47/x
  3. Step 3: Cross multiply
    105,770.81x = 226,302.47 × 226,302.47
  4. Step 4: Simplify right side
    105,770.81x = 51,212,807,362.34
  5. Step 5: Solve for x
    x = 51,212,807,362.34/105,770.81
  6. Step 6: Final answer
    x = 484,186.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.