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Finding the Third Proportional to 89,204,652 and 125,621,705.25

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Solution

The third proportional to 89,204,652 and 125,621,705.25 is: 176,905,715.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,204,652 : 125,621,705.25 = 125,621,705.25 : x
  2. Step 2: Convert to fraction form
    89,204,652/125,621,705.25 = 125,621,705.25/x
  3. Step 3: Cross multiply
    89,204,652x = 125,621,705.25 × 125,621,705.25
  4. Step 4: Simplify right side
    89,204,652x = 15,780,812,829,917,878
  5. Step 5: Solve for x
    x = 15,780,812,829,917,878/89,204,652
  6. Step 6: Final answer
    x = 176,905,715.97

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.