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Finding the Third Proportional to 83,583,222 and 126,638,937

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Solution

The third proportional to 83,583,222 and 126,638,937 is: 191,873,679.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,583,222 : 126,638,937 = 126,638,937 : x
  2. Step 2: Convert to fraction form
    83,583,222/126,638,937 = 126,638,937/x
  3. Step 3: Cross multiply
    83,583,222x = 126,638,937 × 126,638,937
  4. Step 4: Simplify right side
    83,583,222x = 16,037,420,364,489,968
  5. Step 5: Solve for x
    x = 16,037,420,364,489,968/83,583,222
  6. Step 6: Final answer
    x = 191,873,679.68

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.