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Finding the Third Proportional to 181,951,024 and 260,191,761

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Solution

The third proportional to 181,951,024 and 260,191,761 is: 372,076,787.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,951,024 : 260,191,761 = 260,191,761 : x
  2. Step 2: Convert to fraction form
    181,951,024/260,191,761 = 260,191,761/x
  3. Step 3: Cross multiply
    181,951,024x = 260,191,761 × 260,191,761
  4. Step 4: Simplify right side
    181,951,024x = 67,699,752,492,281,120
  5. Step 5: Solve for x
    x = 67,699,752,492,281,120/181,951,024
  6. Step 6: Final answer
    x = 372,076,787.50

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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.