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Finding the Third Proportional to 183,689,684 and 396,600,424

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Solution

The third proportional to 183,689,684 and 396,600,424 is: 856,291,398.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,689,684 : 396,600,424 = 396,600,424 : x
  2. Step 2: Convert to fraction form
    183,689,684/396,600,424 = 396,600,424/x
  3. Step 3: Cross multiply
    183,689,684x = 396,600,424 × 396,600,424
  4. Step 4: Simplify right side
    183,689,684x = 157,291,896,316,979,776
  5. Step 5: Solve for x
    x = 157,291,896,316,979,776/183,689,684
  6. Step 6: Final answer
    x = 856,291,398.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.