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Finding the Third Proportional to 66,908.81 and 97,850.25

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Solution

The third proportional to 66,908.81 and 97,850.25 is: 143,100.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,908.81 : 97,850.25 = 97,850.25 : x
  2. Step 2: Convert to fraction form
    66,908.81/97,850.25 = 97,850.25/x
  3. Step 3: Cross multiply
    66,908.81x = 97,850.25 × 97,850.25
  4. Step 4: Simplify right side
    66,908.81x = 9,574,671,425.06
  5. Step 5: Solve for x
    x = 9,574,671,425.06/66,908.81
  6. Step 6: Final answer
    x = 143,100.30

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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.