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Finding the Third Proportional to 87,243,760 and 183,512,880

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Solution

The third proportional to 87,243,760 and 183,512,880 is: 386,010,152.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,243,760 : 183,512,880 = 183,512,880 : x
  2. Step 2: Convert to fraction form
    87,243,760/183,512,880 = 183,512,880/x
  3. Step 3: Cross multiply
    87,243,760x = 183,512,880 × 183,512,880
  4. Step 4: Simplify right side
    87,243,760x = 33,676,977,125,894,400
  5. Step 5: Solve for x
    x = 33,676,977,125,894,400/87,243,760
  6. Step 6: Final answer
    x = 386,010,152.77

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.