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Finding the Third Proportional to 102,893.63 and 154,614.38

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Solution

The third proportional to 102,893.63 and 154,614.38 is: 232,333.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,893.63 : 154,614.38 = 154,614.38 : x
  2. Step 2: Convert to fraction form
    102,893.63/154,614.38 = 154,614.38/x
  3. Step 3: Cross multiply
    102,893.63x = 154,614.38 × 154,614.38
  4. Step 4: Simplify right side
    102,893.63x = 23,905,604,956.64
  5. Step 5: Solve for x
    x = 23,905,604,956.64/102,893.63
  6. Step 6: Final answer
    x = 232,333.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.