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Finding the Third Proportional to 184,646,419 and 399,933,681

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Solution

The third proportional to 184,646,419 and 399,933,681 is: 866,233,691.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,646,419 : 399,933,681 = 399,933,681 : x
  2. Step 2: Convert to fraction form
    184,646,419/399,933,681 = 399,933,681/x
  3. Step 3: Cross multiply
    184,646,419x = 399,933,681 × 399,933,681
  4. Step 4: Simplify right side
    184,646,419x = 159,946,949,198,209,760
  5. Step 5: Solve for x
    x = 159,946,949,198,209,760/184,646,419
  6. Step 6: Final answer
    x = 866,233,691.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.