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Finding the Third Proportional to 260,117,561 and 375,824,956

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Solution

The third proportional to 260,117,561 and 375,824,956 is: 543,002,160.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,117,561 : 375,824,956 = 375,824,956 : x
  2. Step 2: Convert to fraction form
    260,117,561/375,824,956 = 375,824,956/x
  3. Step 3: Cross multiply
    260,117,561x = 375,824,956 × 375,824,956
  4. Step 4: Simplify right side
    260,117,561x = 141,244,397,552,401,936
  5. Step 5: Solve for x
    x = 141,244,397,552,401,936/260,117,561
  6. Step 6: Final answer
    x = 543,002,160.29

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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.