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Finding the Third Proportional to 219,972,142.97 and 477,778,326.61

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Solution

The third proportional to 219,972,142.97 and 477,778,326.61 is: 1,037,731,988.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,972,142.97 : 477,778,326.61 = 477,778,326.61 : x
  2. Step 2: Convert to fraction form
    219,972,142.97/477,778,326.61 = 477,778,326.61/x
  3. Step 3: Cross multiply
    219,972,142.97x = 477,778,326.61 × 477,778,326.61
  4. Step 4: Simplify right side
    219,972,142.97x = 228,272,129,377,659,392
  5. Step 5: Solve for x
    x = 228,272,129,377,659,392/219,972,142.97
  6. Step 6: Final answer
    x = 1,037,731,988.68

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.