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Finding the Third Proportional to 45,388.69 and 97,009.31

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Solution

The third proportional to 45,388.69 and 97,009.31 is: 207,338.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,388.69 : 97,009.31 = 97,009.31 : x
  2. Step 2: Convert to fraction form
    45,388.69/97,009.31 = 97,009.31/x
  3. Step 3: Cross multiply
    45,388.69x = 97,009.31 × 97,009.31
  4. Step 4: Simplify right side
    45,388.69x = 9,410,806,711.72
  5. Step 5: Solve for x
    x = 9,410,806,711.72/45,388.69
  6. Step 6: Final answer
    x = 207,338.15

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.