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Finding the Third Proportional to 48,713,244 and 106,001,984

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Solution

The third proportional to 48,713,244 and 106,001,984 is: 230,664,593.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,713,244 : 106,001,984 = 106,001,984 : x
  2. Step 2: Convert to fraction form
    48,713,244/106,001,984 = 106,001,984/x
  3. Step 3: Cross multiply
    48,713,244x = 106,001,984 × 106,001,984
  4. Step 4: Simplify right side
    48,713,244x = 11,236,420,611,936,256
  5. Step 5: Solve for x
    x = 11,236,420,611,936,256/48,713,244
  6. Step 6: Final answer
    x = 230,664,593.23

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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.