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Finding the Third Proportional to 185,517,117 and 386,294,103

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Solution

The third proportional to 185,517,117 and 386,294,103 is: 804,363,157.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,517,117 : 386,294,103 = 386,294,103 : x
  2. Step 2: Convert to fraction form
    185,517,117/386,294,103 = 386,294,103/x
  3. Step 3: Cross multiply
    185,517,117x = 386,294,103 × 386,294,103
  4. Step 4: Simplify right side
    185,517,117x = 149,223,134,012,574,624
  5. Step 5: Solve for x
    x = 149,223,134,012,574,624/185,517,117
  6. Step 6: Final answer
    x = 804,363,157.57

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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.