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Finding the Third Proportional to 190,827,221 and 415,444,824

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Solution

The third proportional to 190,827,221 and 415,444,824 is: 904,453,782.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,827,221 : 415,444,824 = 415,444,824 : x
  2. Step 2: Convert to fraction form
    190,827,221/415,444,824 = 415,444,824/x
  3. Step 3: Cross multiply
    190,827,221x = 415,444,824 × 415,444,824
  4. Step 4: Simplify right side
    190,827,221x = 172,594,401,788,390,976
  5. Step 5: Solve for x
    x = 172,594,401,788,390,976/190,827,221
  6. Step 6: Final answer
    x = 904,453,782.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.