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Finding the Third Proportional to 185,517,121 and 386,294,111

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Solution

The third proportional to 185,517,121 and 386,294,111 is: 804,363,173.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,517,121 : 386,294,111 = 386,294,111 : x
  2. Step 2: Convert to fraction form
    185,517,121/386,294,111 = 386,294,111/x
  3. Step 3: Cross multiply
    185,517,121x = 386,294,111 × 386,294,111
  4. Step 4: Simplify right side
    185,517,121x = 149,223,140,193,280,320
  5. Step 5: Solve for x
    x = 149,223,140,193,280,320/185,517,121
  6. Step 6: Final answer
    x = 804,363,173.54

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.