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Finding the Third Proportional to 194,734,125 and 302,493,795

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Solution

The third proportional to 194,734,125 and 302,493,795 is: 469,884,238.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,734,125 : 302,493,795 = 302,493,795 : x
  2. Step 2: Convert to fraction form
    194,734,125/302,493,795 = 302,493,795/x
  3. Step 3: Cross multiply
    194,734,125x = 302,493,795 × 302,493,795
  4. Step 4: Simplify right side
    194,734,125x = 91,502,496,013,502,032
  5. Step 5: Solve for x
    x = 91,502,496,013,502,032/194,734,125
  6. Step 6: Final answer
    x = 469,884,238.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.