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Finding the Third Proportional to 76,405,242 and 164,910,316

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Solution

The third proportional to 76,405,242 and 164,910,316 is: 355,936,472.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,405,242 : 164,910,316 = 164,910,316 : x
  2. Step 2: Convert to fraction form
    76,405,242/164,910,316 = 164,910,316/x
  3. Step 3: Cross multiply
    76,405,242x = 164,910,316 × 164,910,316
  4. Step 4: Simplify right side
    76,405,242x = 27,195,412,323,219,856
  5. Step 5: Solve for x
    x = 27,195,412,323,219,856/76,405,242
  6. Step 6: Final answer
    x = 355,936,472.57

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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.