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Finding the Third Proportional to 133,573,966 and 204,333,360.75

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Solution

The third proportional to 133,573,966 and 204,333,360.75 is: 312,576,795.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,573,966 : 204,333,360.75 = 204,333,360.75 : x
  2. Step 2: Convert to fraction form
    133,573,966/204,333,360.75 = 204,333,360.75/x
  3. Step 3: Cross multiply
    133,573,966x = 204,333,360.75 × 204,333,360.75
  4. Step 4: Simplify right side
    133,573,966x = 41,752,122,315,389,640
  5. Step 5: Solve for x
    x = 41,752,122,315,389,640/133,573,966
  6. Step 6: Final answer
    x = 312,576,795.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.