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Finding the Third Proportional to 165,953,086.50 and 239,752,909.50

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Solution

The third proportional to 165,953,086.50 and 239,752,909.50 is: 346,371,729.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,953,086.50 : 239,752,909.50 = 239,752,909.50 : x
  2. Step 2: Convert to fraction form
    165,953,086.50/239,752,909.50 = 239,752,909.50/x
  3. Step 3: Cross multiply
    165,953,086.50x = 239,752,909.50 × 239,752,909.50
  4. Step 4: Simplify right side
    165,953,086.50x = 57,481,457,613,715,192
  5. Step 5: Solve for x
    x = 57,481,457,613,715,192/165,953,086.50
  6. Step 6: Final answer
    x = 346,371,729.66

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.