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Finding the Third Proportional to 76,849,530 and 164,682,168

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Solution

The third proportional to 76,849,530 and 164,682,168 is: 352,900,225.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,849,530 : 164,682,168 = 164,682,168 : x
  2. Step 2: Convert to fraction form
    76,849,530/164,682,168 = 164,682,168/x
  3. Step 3: Cross multiply
    76,849,530x = 164,682,168 × 164,682,168
  4. Step 4: Simplify right side
    76,849,530x = 27,120,216,457,180,224
  5. Step 5: Solve for x
    x = 27,120,216,457,180,224/76,849,530
  6. Step 6: Final answer
    x = 352,900,225.38

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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.