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Finding the Third Proportional to 48,486,984 and 107,735,640

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Solution

The third proportional to 48,486,984 and 107,735,640 is: 239,383,173.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,486,984 : 107,735,640 = 107,735,640 : x
  2. Step 2: Convert to fraction form
    48,486,984/107,735,640 = 107,735,640/x
  3. Step 3: Cross multiply
    48,486,984x = 107,735,640 × 107,735,640
  4. Step 4: Simplify right side
    48,486,984x = 11,606,968,126,209,600
  5. Step 5: Solve for x
    x = 11,606,968,126,209,600/48,486,984
  6. Step 6: Final answer
    x = 239,383,173.97

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.