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Finding the Third Proportional to 181,950,512 and 260,191,380

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Solution

The third proportional to 181,950,512 and 260,191,380 is: 372,076,744.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,950,512 : 260,191,380 = 260,191,380 : x
  2. Step 2: Convert to fraction form
    181,950,512/260,191,380 = 260,191,380/x
  3. Step 3: Cross multiply
    181,950,512x = 260,191,380 × 260,191,380
  4. Step 4: Simplify right side
    181,950,512x = 67,699,554,226,304,400
  5. Step 5: Solve for x
    x = 67,699,554,226,304,400/181,950,512
  6. Step 6: Final answer
    x = 372,076,744.84

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.