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Finding the Third Proportional to 85,593,870 and 186,946,668

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Solution

The third proportional to 85,593,870 and 186,946,668 is: 408,312,612.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,593,870 : 186,946,668 = 186,946,668 : x
  2. Step 2: Convert to fraction form
    85,593,870/186,946,668 = 186,946,668/x
  3. Step 3: Cross multiply
    85,593,870x = 186,946,668 × 186,946,668
  4. Step 4: Simplify right side
    85,593,870x = 34,949,056,676,302,224
  5. Step 5: Solve for x
    x = 34,949,056,676,302,224/85,593,870
  6. Step 6: Final answer
    x = 408,312,612.53

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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.