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Finding the Third Proportional to 76,050,000 and 164,223,144

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Solution

The third proportional to 76,050,000 and 164,223,144 is: 354,625,128.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,050,000 : 164,223,144 = 164,223,144 : x
  2. Step 2: Convert to fraction form
    76,050,000/164,223,144 = 164,223,144/x
  3. Step 3: Cross multiply
    76,050,000x = 164,223,144 × 164,223,144
  4. Step 4: Simplify right side
    76,050,000x = 26,969,241,025,244,736
  5. Step 5: Solve for x
    x = 26,969,241,025,244,736/76,050,000
  6. Step 6: Final answer
    x = 354,625,128.54

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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.