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Finding the Third Proportional to 102,007,804 and 220,135,742

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Solution

The third proportional to 102,007,804 and 220,135,742 is: 475,059,191.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,007,804 : 220,135,742 = 220,135,742 : x
  2. Step 2: Convert to fraction form
    102,007,804/220,135,742 = 220,135,742/x
  3. Step 3: Cross multiply
    102,007,804x = 220,135,742 × 220,135,742
  4. Step 4: Simplify right side
    102,007,804x = 48,459,744,905,890,560
  5. Step 5: Solve for x
    x = 48,459,744,905,890,560/102,007,804
  6. Step 6: Final answer
    x = 475,059,191.61

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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.