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Finding the Third Proportional to 189,163,503 and 415,593,477

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Solution

The third proportional to 189,163,503 and 415,593,477 is: 913,061,639.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,163,503 : 415,593,477 = 415,593,477 : x
  2. Step 2: Convert to fraction form
    189,163,503/415,593,477 = 415,593,477/x
  3. Step 3: Cross multiply
    189,163,503x = 415,593,477 × 415,593,477
  4. Step 4: Simplify right side
    189,163,503x = 172,717,938,124,949,536
  5. Step 5: Solve for x
    x = 172,717,938,124,949,536/189,163,503
  6. Step 6: Final answer
    x = 913,061,639.19

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.