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Finding the Third Proportional to 89,884,224 and 135,770,946

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Solution

The third proportional to 89,884,224 and 135,770,946 is: 205,083,261.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,884,224 : 135,770,946 = 135,770,946 : x
  2. Step 2: Convert to fraction form
    89,884,224/135,770,946 = 135,770,946/x
  3. Step 3: Cross multiply
    89,884,224x = 135,770,946 × 135,770,946
  4. Step 4: Simplify right side
    89,884,224x = 18,433,749,777,734,916
  5. Step 5: Solve for x
    x = 18,433,749,777,734,916/89,884,224
  6. Step 6: Final answer
    x = 205,083,261.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.