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Finding the Third Proportional to 207,203,220 and 299,348,190

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Solution

The third proportional to 207,203,220 and 299,348,190 is: 432,470,783.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,203,220 : 299,348,190 = 299,348,190 : x
  2. Step 2: Convert to fraction form
    207,203,220/299,348,190 = 299,348,190/x
  3. Step 3: Cross multiply
    207,203,220x = 299,348,190 × 299,348,190
  4. Step 4: Simplify right side
    207,203,220x = 89,609,338,856,276,096
  5. Step 5: Solve for x
    x = 89,609,338,856,276,096/207,203,220
  6. Step 6: Final answer
    x = 432,470,783.30

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.