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Finding the Third Proportional to 120,993,392 and 185,975,508

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Solution

The third proportional to 120,993,392 and 185,975,508 is: 285,857,673.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,993,392 : 185,975,508 = 185,975,508 : x
  2. Step 2: Convert to fraction form
    120,993,392/185,975,508 = 185,975,508/x
  3. Step 3: Cross multiply
    120,993,392x = 185,975,508 × 185,975,508
  4. Step 4: Simplify right side
    120,993,392x = 34,586,889,575,858,064
  5. Step 5: Solve for x
    x = 34,586,889,575,858,064/120,993,392
  6. Step 6: Final answer
    x = 285,857,673.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.