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Finding the Third Proportional to 133,194,537 and 280,964,976

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Solution

The third proportional to 133,194,537 and 280,964,976 is: 592,676,843.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,194,537 : 280,964,976 = 280,964,976 : x
  2. Step 2: Convert to fraction form
    133,194,537/280,964,976 = 280,964,976/x
  3. Step 3: Cross multiply
    133,194,537x = 280,964,976 × 280,964,976
  4. Step 4: Simplify right side
    133,194,537x = 78,941,317,738,680,576
  5. Step 5: Solve for x
    x = 78,941,317,738,680,576/133,194,537
  6. Step 6: Final answer
    x = 592,676,843.34

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.