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Finding the Third Proportional to 103,864.78 and 148,516.03

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Solution

The third proportional to 103,864.78 and 148,516.03 is: 212,362.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,864.78 : 148,516.03 = 148,516.03 : x
  2. Step 2: Convert to fraction form
    103,864.78/148,516.03 = 148,516.03/x
  3. Step 3: Cross multiply
    103,864.78x = 148,516.03 × 148,516.03
  4. Step 4: Simplify right side
    103,864.78x = 22,057,011,538.25
  5. Step 5: Solve for x
    x = 22,057,011,538.25/103,864.78
  6. Step 6: Final answer
    x = 212,362.76

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.