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Finding the Third Proportional to 103,917.94 and 224,051.63

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Solution

The third proportional to 103,917.94 and 224,051.63 is: 483,065.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,917.94 : 224,051.63 = 224,051.63 : x
  2. Step 2: Convert to fraction form
    103,917.94/224,051.63 = 224,051.63/x
  3. Step 3: Cross multiply
    103,917.94x = 224,051.63 × 224,051.63
  4. Step 4: Simplify right side
    103,917.94x = 50,199,130,665.14
  5. Step 5: Solve for x
    x = 50,199,130,665.14/103,917.94
  6. Step 6: Final answer
    x = 483,065.12

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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.