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Finding the Third Proportional to 194,544,764 and 303,595,196

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Solution

The third proportional to 194,544,764 and 303,595,196 is: 473,772,930.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,544,764 : 303,595,196 = 303,595,196 : x
  2. Step 2: Convert to fraction form
    194,544,764/303,595,196 = 303,595,196/x
  3. Step 3: Cross multiply
    194,544,764x = 303,595,196 × 303,595,196
  4. Step 4: Simplify right side
    194,544,764x = 92,170,043,034,278,416
  5. Step 5: Solve for x
    x = 92,170,043,034,278,416/194,544,764
  6. Step 6: Final answer
    x = 473,772,930.91

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.