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Finding the Third Proportional to 151,012,576 and 233,194,967

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Solution

The third proportional to 151,012,576 and 233,194,967 is: 360,101,748.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,012,576 : 233,194,967 = 233,194,967 : x
  2. Step 2: Convert to fraction form
    151,012,576/233,194,967 = 233,194,967/x
  3. Step 3: Cross multiply
    151,012,576x = 233,194,967 × 233,194,967
  4. Step 4: Simplify right side
    151,012,576x = 54,379,892,634,131,088
  5. Step 5: Solve for x
    x = 54,379,892,634,131,088/151,012,576
  6. Step 6: Final answer
    x = 360,101,748.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.