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Finding the Third Proportional to 97,290.56 and 213,735.94

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Solution

The third proportional to 97,290.56 and 213,735.94 is: 469,552.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,290.56 : 213,735.94 = 213,735.94 : x
  2. Step 2: Convert to fraction form
    97,290.56/213,735.94 = 213,735.94/x
  3. Step 3: Cross multiply
    97,290.56x = 213,735.94 × 213,735.94
  4. Step 4: Simplify right side
    97,290.56x = 45,683,050,979.00
  5. Step 5: Solve for x
    x = 45,683,050,979.00/97,290.56
  6. Step 6: Final answer
    x = 469,552.75

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.