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Finding the Third Proportional to 218,689,206.75 and 446,176,709.44

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Solution

The third proportional to 218,689,206.75 and 446,176,709.44 is: 910,303,983.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,689,206.75 : 446,176,709.44 = 446,176,709.44 : x
  2. Step 2: Convert to fraction form
    218,689,206.75/446,176,709.44 = 446,176,709.44/x
  3. Step 3: Cross multiply
    218,689,206.75x = 446,176,709.44 × 446,176,709.44
  4. Step 4: Simplify right side
    218,689,206.75x = 199,073,656,044,475,296
  5. Step 5: Solve for x
    x = 199,073,656,044,475,296/218,689,206.75
  6. Step 6: Final answer
    x = 910,303,983.46

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.