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Finding the Third Proportional to 107,364 and 214,717.50

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Solution

The third proportional to 107,364 and 214,717.50 is: 429,414.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,364 : 214,717.50 = 214,717.50 : x
  2. Step 2: Convert to fraction form
    107,364/214,717.50 = 214,717.50/x
  3. Step 3: Cross multiply
    107,364x = 214,717.50 × 214,717.50
  4. Step 4: Simplify right side
    107,364x = 46,103,604,806.25
  5. Step 5: Solve for x
    x = 46,103,604,806.25/107,364
  6. Step 6: Final answer
    x = 429,414.00

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.