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Finding the Third Proportional to 102,104,010 and 218,560,212

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Solution

The third proportional to 102,104,010 and 218,560,212 is: 467,842,215.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,104,010 : 218,560,212 = 218,560,212 : x
  2. Step 2: Convert to fraction form
    102,104,010/218,560,212 = 218,560,212/x
  3. Step 3: Cross multiply
    102,104,010x = 218,560,212 × 218,560,212
  4. Step 4: Simplify right side
    102,104,010x = 47,768,566,269,484,944
  5. Step 5: Solve for x
    x = 47,768,566,269,484,944/102,104,010
  6. Step 6: Final answer
    x = 467,842,215.69

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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.