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Finding the Third Proportional to 206,912,508.75 and 344,840,383.69

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Solution

The third proportional to 206,912,508.75 and 344,840,383.69 is: 574,710,977.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,912,508.75 : 344,840,383.69 = 344,840,383.69 : x
  2. Step 2: Convert to fraction form
    206,912,508.75/344,840,383.69 = 344,840,383.69/x
  3. Step 3: Cross multiply
    206,912,508.75x = 344,840,383.69 × 344,840,383.69
  4. Step 4: Simplify right side
    206,912,508.75x = 118,914,890,221,742,224
  5. Step 5: Solve for x
    x = 118,914,890,221,742,224/206,912,508.75
  6. Step 6: Final answer
    x = 574,710,977.80

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.