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Finding the Third Proportional to 39,897.56 and 97,488.56

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Solution

The third proportional to 39,897.56 and 97,488.56 is: 238,210.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,897.56 : 97,488.56 = 97,488.56 : x
  2. Step 2: Convert to fraction form
    39,897.56/97,488.56 = 97,488.56/x
  3. Step 3: Cross multiply
    39,897.56x = 97,488.56 × 97,488.56
  4. Step 4: Simplify right side
    39,897.56x = 9,504,019,818.32
  5. Step 5: Solve for x
    x = 9,504,019,818.32/39,897.56
  6. Step 6: Final answer
    x = 238,210.54

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These problems maintain the same ratio (2.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.