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Finding the Third Proportional to 83,646,064 and 181,188,324

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Solution

The third proportional to 83,646,064 and 181,188,324 is: 392,477,627.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,646,064 : 181,188,324 = 181,188,324 : x
  2. Step 2: Convert to fraction form
    83,646,064/181,188,324 = 181,188,324/x
  3. Step 3: Cross multiply
    83,646,064x = 181,188,324 × 181,188,324
  4. Step 4: Simplify right side
    83,646,064x = 32,829,208,753,928,976
  5. Step 5: Solve for x
    x = 32,829,208,753,928,976/83,646,064
  6. Step 6: Final answer
    x = 392,477,627.57

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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.