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Finding the Third Proportional to 185,517,119 and 386,294,107

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Solution

The third proportional to 185,517,119 and 386,294,107 is: 804,363,165.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,517,119 : 386,294,107 = 386,294,107 : x
  2. Step 2: Convert to fraction form
    185,517,119/386,294,107 = 386,294,107/x
  3. Step 3: Cross multiply
    185,517,119x = 386,294,107 × 386,294,107
  4. Step 4: Simplify right side
    185,517,119x = 149,223,137,102,927,456
  5. Step 5: Solve for x
    x = 149,223,137,102,927,456/185,517,119
  6. Step 6: Final answer
    x = 804,363,165.55

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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.