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Finding the Third Proportional to 102,139,425 and 218,434,626

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Solution

The third proportional to 102,139,425 and 218,434,626 is: 467,142,690.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,139,425 : 218,434,626 = 218,434,626 : x
  2. Step 2: Convert to fraction form
    102,139,425/218,434,626 = 218,434,626/x
  3. Step 3: Cross multiply
    102,139,425x = 218,434,626 × 218,434,626
  4. Step 4: Simplify right side
    102,139,425x = 47,713,685,835,759,872
  5. Step 5: Solve for x
    x = 47,713,685,835,759,872/102,139,425
  6. Step 6: Final answer
    x = 467,142,690.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.