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Finding the Third Proportional to 85,593,872 and 186,946,672

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Solution

The third proportional to 85,593,872 and 186,946,672 is: 408,312,620.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,593,872 : 186,946,672 = 186,946,672 : x
  2. Step 2: Convert to fraction form
    85,593,872/186,946,672 = 186,946,672/x
  3. Step 3: Cross multiply
    85,593,872x = 186,946,672 × 186,946,672
  4. Step 4: Simplify right side
    85,593,872x = 34,949,058,171,875,584
  5. Step 5: Solve for x
    x = 34,949,058,171,875,584/85,593,872
  6. Step 6: Final answer
    x = 408,312,620.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.