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Finding the Third Proportional to 76,849,534 and 164,682,176

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Solution

The third proportional to 76,849,534 and 164,682,176 is: 352,900,241.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,849,534 : 164,682,176 = 164,682,176 : x
  2. Step 2: Convert to fraction form
    76,849,534/164,682,176 = 164,682,176/x
  3. Step 3: Cross multiply
    76,849,534x = 164,682,176 × 164,682,176
  4. Step 4: Simplify right side
    76,849,534x = 27,120,219,092,094,976
  5. Step 5: Solve for x
    x = 27,120,219,092,094,976/76,849,534
  6. Step 6: Final answer
    x = 352,900,241.30

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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.