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Finding the Third Proportional to 149,276,664 and 233,660,754

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Solution

The third proportional to 149,276,664 and 233,660,754 is: 365,746,034.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,276,664 : 233,660,754 = 233,660,754 : x
  2. Step 2: Convert to fraction form
    149,276,664/233,660,754 = 233,660,754/x
  3. Step 3: Cross multiply
    149,276,664x = 233,660,754 × 233,660,754
  4. Step 4: Simplify right side
    149,276,664x = 54,597,347,959,848,512
  5. Step 5: Solve for x
    x = 54,597,347,959,848,512/149,276,664
  6. Step 6: Final answer
    x = 365,746,034.89

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.