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Finding the Third Proportional to 103,911.19 and 224,047.69

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Solution

The third proportional to 103,911.19 and 224,047.69 is: 483,079.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,911.19 : 224,047.69 = 224,047.69 : x
  2. Step 2: Convert to fraction form
    103,911.19/224,047.69 = 224,047.69/x
  3. Step 3: Cross multiply
    103,911.19x = 224,047.69 × 224,047.69
  4. Step 4: Simplify right side
    103,911.19x = 50,197,366,274.10
  5. Step 5: Solve for x
    x = 50,197,366,274.10/103,911.19
  6. Step 6: Final answer
    x = 483,079.52

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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.