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Finding the Third Proportional to 102,783,232 and 222,502,400

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Solution

The third proportional to 102,783,232 and 222,502,400 is: 481,667,262.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,783,232 : 222,502,400 = 222,502,400 : x
  2. Step 2: Convert to fraction form
    102,783,232/222,502,400 = 222,502,400/x
  3. Step 3: Cross multiply
    102,783,232x = 222,502,400 × 222,502,400
  4. Step 4: Simplify right side
    102,783,232x = 49,507,318,005,760,000
  5. Step 5: Solve for x
    x = 49,507,318,005,760,000/102,783,232
  6. Step 6: Final answer
    x = 481,667,262.67

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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.