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Finding the Third Proportional to 104,307.75 and 223,408.13

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Solution

The third proportional to 104,307.75 and 223,408.13 is: 478,499.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,307.75 : 223,408.13 = 223,408.13 : x
  2. Step 2: Convert to fraction form
    104,307.75/223,408.13 = 223,408.13/x
  3. Step 3: Cross multiply
    104,307.75x = 223,408.13 × 223,408.13
  4. Step 4: Simplify right side
    104,307.75x = 49,911,190,316.02
  5. Step 5: Solve for x
    x = 49,911,190,316.02/104,307.75
  6. Step 6: Final answer
    x = 478,499.35

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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.