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Finding the Third Proportional to 107,313 and 211,924.50

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Solution

The third proportional to 107,313 and 211,924.50 is: 418,514.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,313 : 211,924.50 = 211,924.50 : x
  2. Step 2: Convert to fraction form
    107,313/211,924.50 = 211,924.50/x
  3. Step 3: Cross multiply
    107,313x = 211,924.50 × 211,924.50
  4. Step 4: Simplify right side
    107,313x = 44,911,993,700.25
  5. Step 5: Solve for x
    x = 44,911,993,700.25/107,313
  6. Step 6: Final answer
    x = 418,514.01

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.