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Finding the Third Proportional to 232,657,935.19 and 504,090,757.69

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Solution

The third proportional to 232,657,935.19 and 504,090,757.69 is: 1,092,193,532.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,657,935.19 : 504,090,757.69 = 504,090,757.69 : x
  2. Step 2: Convert to fraction form
    232,657,935.19/504,090,757.69 = 504,090,757.69/x
  3. Step 3: Cross multiply
    232,657,935.19x = 504,090,757.69 × 504,090,757.69
  4. Step 4: Simplify right side
    232,657,935.19x = 254,107,491,985,957,856
  5. Step 5: Solve for x
    x = 254,107,491,985,957,856/232,657,935.19
  6. Step 6: Final answer
    x = 1,092,193,532.02

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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.