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Finding the Third Proportional to 102,007,788 and 220,135,710

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Solution

The third proportional to 102,007,788 and 220,135,710 is: 475,059,128.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,007,788 : 220,135,710 = 220,135,710 : x
  2. Step 2: Convert to fraction form
    102,007,788/220,135,710 = 220,135,710/x
  3. Step 3: Cross multiply
    102,007,788x = 220,135,710 × 220,135,710
  4. Step 4: Simplify right side
    102,007,788x = 48,459,730,817,204,096
  5. Step 5: Solve for x
    x = 48,459,730,817,204,096/102,007,788
  6. Step 6: Final answer
    x = 475,059,128.01

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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.