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Finding the Third Proportional to 102,007,789.50 and 220,135,713

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Solution

The third proportional to 102,007,789.50 and 220,135,713 is: 475,059,133.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,007,789.50 : 220,135,713 = 220,135,713 : x
  2. Step 2: Convert to fraction form
    102,007,789.50/220,135,713 = 220,135,713/x
  3. Step 3: Cross multiply
    102,007,789.50x = 220,135,713 × 220,135,713
  4. Step 4: Simplify right side
    102,007,789.50x = 48,459,732,138,018,368
  5. Step 5: Solve for x
    x = 48,459,732,138,018,368/102,007,789.50
  6. Step 6: Final answer
    x = 475,059,133.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.