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Finding the Third Proportional to 102,133,212 and 218,465,863

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Solution

The third proportional to 102,133,212 and 218,465,863 is: 467,304,732.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,133,212 : 218,465,863 = 218,465,863 : x
  2. Step 2: Convert to fraction form
    102,133,212/218,465,863 = 218,465,863/x
  3. Step 3: Cross multiply
    102,133,212x = 218,465,863 × 218,465,863
  4. Step 4: Simplify right side
    102,133,212x = 47,727,333,296,334,768
  5. Step 5: Solve for x
    x = 47,727,333,296,334,768/102,133,212
  6. Step 6: Final answer
    x = 467,304,732.34

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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.