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Finding the Third Proportional to 91,346 and 199,249.75

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Solution

The third proportional to 91,346 and 199,249.75 is: 434,616.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,346 : 199,249.75 = 199,249.75 : x
  2. Step 2: Convert to fraction form
    91,346/199,249.75 = 199,249.75/x
  3. Step 3: Cross multiply
    91,346x = 199,249.75 × 199,249.75
  4. Step 4: Simplify right side
    91,346x = 39,700,462,875.06
  5. Step 5: Solve for x
    x = 39,700,462,875.06/91,346
  6. Step 6: Final answer
    x = 434,616.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.