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Finding the Third Proportional to 76,849,532 and 164,682,172

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Solution

The third proportional to 76,849,532 and 164,682,172 is: 352,900,233.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,849,532 : 164,682,172 = 164,682,172 : x
  2. Step 2: Convert to fraction form
    76,849,532/164,682,172 = 164,682,172/x
  3. Step 3: Cross multiply
    76,849,532x = 164,682,172 × 164,682,172
  4. Step 4: Simplify right side
    76,849,532x = 27,120,217,774,637,584
  5. Step 5: Solve for x
    x = 27,120,217,774,637,584/76,849,532
  6. Step 6: Final answer
    x = 352,900,233.34

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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.