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Finding the Third Proportional to 194,734,107 and 302,493,768

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Solution

The third proportional to 194,734,107 and 302,493,768 is: 469,884,197.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,734,107 : 302,493,768 = 302,493,768 : x
  2. Step 2: Convert to fraction form
    194,734,107/302,493,768 = 302,493,768/x
  3. Step 3: Cross multiply
    194,734,107x = 302,493,768 × 302,493,768
  4. Step 4: Simplify right side
    194,734,107x = 91,502,479,678,837,824
  5. Step 5: Solve for x
    x = 91,502,479,678,837,824/194,734,107
  6. Step 6: Final answer
    x = 469,884,197.94

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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.