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Finding the Third Proportional to 48,021,120 and 105,149,664

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Solution

The third proportional to 48,021,120 and 105,149,664 is: 230,241,440.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,021,120 : 105,149,664 = 105,149,664 : x
  2. Step 2: Convert to fraction form
    48,021,120/105,149,664 = 105,149,664/x
  3. Step 3: Cross multiply
    48,021,120x = 105,149,664 × 105,149,664
  4. Step 4: Simplify right side
    48,021,120x = 11,056,451,839,312,896
  5. Step 5: Solve for x
    x = 11,056,451,839,312,896/48,021,120
  6. Step 6: Final answer
    x = 230,241,440.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.