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Finding the Third Proportional to 102,007,783 and 220,135,700

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Solution

The third proportional to 102,007,783 and 220,135,700 is: 475,059,108.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,007,783 : 220,135,700 = 220,135,700 : x
  2. Step 2: Convert to fraction form
    102,007,783/220,135,700 = 220,135,700/x
  3. Step 3: Cross multiply
    102,007,783x = 220,135,700 × 220,135,700
  4. Step 4: Simplify right side
    102,007,783x = 48,459,726,414,490,000
  5. Step 5: Solve for x
    x = 48,459,726,414,490,000/102,007,783
  6. Step 6: Final answer
    x = 475,059,108.13

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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.