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Finding the Third Proportional to 105,789,466 and 163,471,696

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Solution

The third proportional to 105,789,466 and 163,471,696 is: 252,605,447.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,789,466 : 163,471,696 = 163,471,696 : x
  2. Step 2: Convert to fraction form
    105,789,466/163,471,696 = 163,471,696/x
  3. Step 3: Cross multiply
    105,789,466x = 163,471,696 × 163,471,696
  4. Step 4: Simplify right side
    105,789,466x = 26,722,995,393,116,416
  5. Step 5: Solve for x
    x = 26,722,995,393,116,416/105,789,466
  6. Step 6: Final answer
    x = 252,605,447.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.