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Finding the Third Proportional to 105,789,406 and 163,471,614

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Solution

The third proportional to 105,789,406 and 163,471,614 is: 252,605,337.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,789,406 : 163,471,614 = 163,471,614 : x
  2. Step 2: Convert to fraction form
    105,789,406/163,471,614 = 163,471,614/x
  3. Step 3: Cross multiply
    105,789,406x = 163,471,614 × 163,471,614
  4. Step 4: Simplify right side
    105,789,406x = 26,722,968,583,764,996
  5. Step 5: Solve for x
    x = 26,722,968,583,764,996/105,789,406
  6. Step 6: Final answer
    x = 252,605,337.28

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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.