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Finding the Third Proportional to 187,594,002 and 413,353,314

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Solution

The third proportional to 187,594,002 and 413,353,314 is: 910,801,840.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,594,002 : 413,353,314 = 413,353,314 : x
  2. Step 2: Convert to fraction form
    187,594,002/413,353,314 = 413,353,314/x
  3. Step 3: Cross multiply
    187,594,002x = 413,353,314 × 413,353,314
  4. Step 4: Simplify right side
    187,594,002x = 170,860,962,194,782,592
  5. Step 5: Solve for x
    x = 170,860,962,194,782,592/187,594,002
  6. Step 6: Final answer
    x = 910,801,840.00

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.