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Finding the Third Proportional to 102,783,200 and 222,502,320

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Solution

The third proportional to 102,783,200 and 222,502,320 is: 481,667,066.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,783,200 : 222,502,320 = 222,502,320 : x
  2. Step 2: Convert to fraction form
    102,783,200/222,502,320 = 222,502,320/x
  3. Step 3: Cross multiply
    102,783,200x = 222,502,320 × 222,502,320
  4. Step 4: Simplify right side
    102,783,200x = 49,507,282,405,382,400
  5. Step 5: Solve for x
    x = 49,507,282,405,382,400/102,783,200
  6. Step 6: Final answer
    x = 481,667,066.27

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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.