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Finding the Third Proportional to 205,896,168 and 428,728,464

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Solution

The third proportional to 205,896,168 and 428,728,464 is: 892,722,276.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,896,168 : 428,728,464 = 428,728,464 : x
  2. Step 2: Convert to fraction form
    205,896,168/428,728,464 = 428,728,464/x
  3. Step 3: Cross multiply
    205,896,168x = 428,728,464 × 428,728,464
  4. Step 4: Simplify right side
    205,896,168x = 183,808,095,843,799,296
  5. Step 5: Solve for x
    x = 183,808,095,843,799,296/205,896,168
  6. Step 6: Final answer
    x = 892,722,276.62

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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.