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Finding the Third Proportional to 102,463,182 and 221,286,240

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Solution

The third proportional to 102,463,182 and 221,286,240 is: 477,904,346.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,463,182 : 221,286,240 = 221,286,240 : x
  2. Step 2: Convert to fraction form
    102,463,182/221,286,240 = 221,286,240/x
  3. Step 3: Cross multiply
    102,463,182x = 221,286,240 × 221,286,240
  4. Step 4: Simplify right side
    102,463,182x = 48,967,600,013,337,600
  5. Step 5: Solve for x
    x = 48,967,600,013,337,600/102,463,182
  6. Step 6: Final answer
    x = 477,904,346.30

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