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Finding the Third Proportional to 133,194,534 and 280,964,970

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Solution

The third proportional to 133,194,534 and 280,964,970 is: 592,676,831.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,194,534 : 280,964,970 = 280,964,970 : x
  2. Step 2: Convert to fraction form
    133,194,534/280,964,970 = 280,964,970/x
  3. Step 3: Cross multiply
    133,194,534x = 280,964,970 × 280,964,970
  4. Step 4: Simplify right side
    133,194,534x = 78,941,314,367,100,896
  5. Step 5: Solve for x
    x = 78,941,314,367,100,896/133,194,534
  6. Step 6: Final answer
    x = 592,676,831.37

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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.