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Finding the Third Proportional to 133,547,383.50 and 289,936,584

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Solution

The third proportional to 133,547,383.50 and 289,936,584 is: 629,463,644.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,547,383.50 : 289,936,584 = 289,936,584 : x
  2. Step 2: Convert to fraction form
    133,547,383.50/289,936,584 = 289,936,584/x
  3. Step 3: Cross multiply
    133,547,383.50x = 289,936,584 × 289,936,584
  4. Step 4: Simplify right side
    133,547,383.50x = 84,063,222,741,589,056
  5. Step 5: Solve for x
    x = 84,063,222,741,589,056/133,547,383.50
  6. Step 6: Final answer
    x = 629,463,644.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.