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Finding the Third Proportional to 159,733,650 and 233,610,075

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Solution

The third proportional to 159,733,650 and 233,610,075 is: 341,654,167.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,733,650 : 233,610,075 = 233,610,075 : x
  2. Step 2: Convert to fraction form
    159,733,650/233,610,075 = 233,610,075/x
  3. Step 3: Cross multiply
    159,733,650x = 233,610,075 × 233,610,075
  4. Step 4: Simplify right side
    159,733,650x = 54,573,667,141,505,624
  5. Step 5: Solve for x
    x = 54,573,667,141,505,624/159,733,650
  6. Step 6: Final answer
    x = 341,654,167.06

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.