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Finding the Third Proportional to 194,544,766 and 303,595,199

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Solution

The third proportional to 194,544,766 and 303,595,199 is: 473,772,935.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,544,766 : 303,595,199 = 303,595,199 : x
  2. Step 2: Convert to fraction form
    194,544,766/303,595,199 = 303,595,199/x
  3. Step 3: Cross multiply
    194,544,766x = 303,595,199 × 303,595,199
  4. Step 4: Simplify right side
    194,544,766x = 92,170,044,855,849,600
  5. Step 5: Solve for x
    x = 92,170,044,855,849,600/194,544,766
  6. Step 6: Final answer
    x = 473,772,935.41

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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.