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Finding the Third Proportional to 76,405,240 and 164,910,312

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Solution

The third proportional to 76,405,240 and 164,910,312 is: 355,936,464.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,405,240 : 164,910,312 = 164,910,312 : x
  2. Step 2: Convert to fraction form
    76,405,240/164,910,312 = 164,910,312/x
  3. Step 3: Cross multiply
    76,405,240x = 164,910,312 × 164,910,312
  4. Step 4: Simplify right side
    76,405,240x = 27,195,411,003,937,344
  5. Step 5: Solve for x
    x = 27,195,411,003,937,344/76,405,240
  6. Step 6: Final answer
    x = 355,936,464.62

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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.