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Finding the Third Proportional to 184,646,016 and 399,932,928

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Solution

The third proportional to 184,646,016 and 399,932,928 is: 866,232,320.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,646,016 : 399,932,928 = 399,932,928 : x
  2. Step 2: Convert to fraction form
    184,646,016/399,932,928 = 399,932,928/x
  3. Step 3: Cross multiply
    184,646,016x = 399,932,928 × 399,932,928
  4. Step 4: Simplify right side
    184,646,016x = 159,946,346,898,653,184
  5. Step 5: Solve for x
    x = 159,946,346,898,653,184/184,646,016
  6. Step 6: Final answer
    x = 866,232,320.43

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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.