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Finding the Third Proportional to 76,702,425.50 and 164,173,916

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Solution

The third proportional to 76,702,425.50 and 164,173,916 is: 351,397,944.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,702,425.50 : 164,173,916 = 164,173,916 : x
  2. Step 2: Convert to fraction form
    76,702,425.50/164,173,916 = 164,173,916/x
  3. Step 3: Cross multiply
    76,702,425.50x = 164,173,916 × 164,173,916
  4. Step 4: Simplify right side
    76,702,425.50x = 26,953,074,694,775,056
  5. Step 5: Solve for x
    x = 26,953,074,694,775,056/76,702,425.50
  6. Step 6: Final answer
    x = 351,397,944.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.