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Finding the Third Proportional to 273,235,168 and 590,096,672

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Solution

The third proportional to 273,235,168 and 590,096,672 is: 1,274,411,653.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,235,168 : 590,096,672 = 590,096,672 : x
  2. Step 2: Convert to fraction form
    273,235,168/590,096,672 = 590,096,672/x
  3. Step 3: Cross multiply
    273,235,168x = 590,096,672 × 590,096,672
  4. Step 4: Simplify right side
    273,235,168x = 348,214,082,305,475,584
  5. Step 5: Solve for x
    x = 348,214,082,305,475,584/273,235,168
  6. Step 6: Final answer
    x = 1,274,411,653.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.