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Finding the Third Proportional to 66,904.31 and 97,844.25

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Solution

The third proportional to 66,904.31 and 97,844.25 is: 143,092.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,904.31 : 97,844.25 = 97,844.25 : x
  2. Step 2: Convert to fraction form
    66,904.31/97,844.25 = 97,844.25/x
  3. Step 3: Cross multiply
    66,904.31x = 97,844.25 × 97,844.25
  4. Step 4: Simplify right side
    66,904.31x = 9,573,497,258.06
  5. Step 5: Solve for x
    x = 9,573,497,258.06/66,904.31
  6. Step 6: Final answer
    x = 143,092.38

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.