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Finding the Third Proportional to 64,220.70 and 97,845.82

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Solution

The third proportional to 64,220.70 and 97,845.82 is: 149,076.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,220.70 : 97,845.82 = 97,845.82 : x
  2. Step 2: Convert to fraction form
    64,220.70/97,845.82 = 97,845.82/x
  3. Step 3: Cross multiply
    64,220.70x = 97,845.82 × 97,845.82
  4. Step 4: Simplify right side
    64,220.70x = 9,573,805,412.60
  5. Step 5: Solve for x
    x = 9,573,805,412.60/64,220.70
  6. Step 6: Final answer
    x = 149,076.63

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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.