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Finding the Third Proportional to 107,355.38 and 214,698.94

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Solution

The third proportional to 107,355.38 and 214,698.94 is: 429,374.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,355.38 : 214,698.94 = 214,698.94 : x
  2. Step 2: Convert to fraction form
    107,355.38/214,698.94 = 214,698.94/x
  3. Step 3: Cross multiply
    107,355.38x = 214,698.94 × 214,698.94
  4. Step 4: Simplify right side
    107,355.38x = 46,095,633,763.63
  5. Step 5: Solve for x
    x = 46,095,633,763.63/107,355.38
  6. Step 6: Final answer
    x = 429,374.25

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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.