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Finding the Third Proportional to 76,050,002 and 164,223,148

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Solution

The third proportional to 76,050,002 and 164,223,148 is: 354,625,136.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,050,002 : 164,223,148 = 164,223,148 : x
  2. Step 2: Convert to fraction form
    76,050,002/164,223,148 = 164,223,148/x
  3. Step 3: Cross multiply
    76,050,002x = 164,223,148 × 164,223,148
  4. Step 4: Simplify right side
    76,050,002x = 26,969,242,339,029,904
  5. Step 5: Solve for x
    x = 26,969,242,339,029,904/76,050,002
  6. Step 6: Final answer
    x = 354,625,136.49

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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.