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Finding the Third Proportional to 104,210,992 and 222,763,584

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Solution

The third proportional to 104,210,992 and 222,763,584 is: 476,184,070.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,210,992 : 222,763,584 = 222,763,584 : x
  2. Step 2: Convert to fraction form
    104,210,992/222,763,584 = 222,763,584/x
  3. Step 3: Cross multiply
    104,210,992x = 222,763,584 × 222,763,584
  4. Step 4: Simplify right side
    104,210,992x = 49,623,614,356,525,056
  5. Step 5: Solve for x
    x = 49,623,614,356,525,056/104,210,992
  6. Step 6: Final answer
    x = 476,184,070.45

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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.