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Finding the Third Proportional to 144,228,910.50 and 310,327,281

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Solution

The third proportional to 144,228,910.50 and 310,327,281 is: 667,709,552.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,228,910.50 : 310,327,281 = 310,327,281 : x
  2. Step 2: Convert to fraction form
    144,228,910.50/310,327,281 = 310,327,281/x
  3. Step 3: Cross multiply
    144,228,910.50x = 310,327,281 × 310,327,281
  4. Step 4: Simplify right side
    144,228,910.50x = 96,303,021,332,852,960
  5. Step 5: Solve for x
    x = 96,303,021,332,852,960/144,228,910.50
  6. Step 6: Final answer
    x = 667,709,552.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.