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Finding the Third Proportional to 194,734,097 and 302,493,754

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Solution

The third proportional to 194,734,097 and 302,493,754 is: 469,884,178.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,734,097 : 302,493,754 = 302,493,754 : x
  2. Step 2: Convert to fraction form
    194,734,097/302,493,754 = 302,493,754/x
  3. Step 3: Cross multiply
    194,734,097x = 302,493,754 × 302,493,754
  4. Step 4: Simplify right side
    194,734,097x = 91,502,471,209,012,512
  5. Step 5: Solve for x
    x = 91,502,471,209,012,512/194,734,097
  6. Step 6: Final answer
    x = 469,884,178.57

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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.