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Finding the Third Proportional to 81,398,433 and 174,613,179

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Solution

The third proportional to 81,398,433 and 174,613,179 is: 374,574,314.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,398,433 : 174,613,179 = 174,613,179 : x
  2. Step 2: Convert to fraction form
    81,398,433/174,613,179 = 174,613,179/x
  3. Step 3: Cross multiply
    81,398,433x = 174,613,179 × 174,613,179
  4. Step 4: Simplify right side
    81,398,433x = 30,489,762,280,486,040
  5. Step 5: Solve for x
    x = 30,489,762,280,486,040/81,398,433
  6. Step 6: Final answer
    x = 374,574,314.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.