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Finding the Third Proportional to 105,071.25 and 224,903.63

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Solution

The third proportional to 105,071.25 and 224,903.63 is: 481,403.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,071.25 : 224,903.63 = 224,903.63 : x
  2. Step 2: Convert to fraction form
    105,071.25/224,903.63 = 224,903.63/x
  3. Step 3: Cross multiply
    105,071.25x = 224,903.63 × 224,903.63
  4. Step 4: Simplify right side
    105,071.25x = 50,581,640,538.14
  5. Step 5: Solve for x
    x = 50,581,640,538.14/105,071.25
  6. Step 6: Final answer
    x = 481,403.24

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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.