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Finding the Third Proportional to 157,943,704 and 352,183,184

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Solution

The third proportional to 157,943,704 and 352,183,184 is: 785,298,761.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,943,704 : 352,183,184 = 352,183,184 : x
  2. Step 2: Convert to fraction form
    157,943,704/352,183,184 = 352,183,184/x
  3. Step 3: Cross multiply
    157,943,704x = 352,183,184 × 352,183,184
  4. Step 4: Simplify right side
    157,943,704x = 124,032,995,092,377,856
  5. Step 5: Solve for x
    x = 124,032,995,092,377,856/157,943,704
  6. Step 6: Final answer
    x = 785,298,761.21

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.