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Finding the Third Proportional to 76,849,481 and 164,682,076

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Solution

The third proportional to 76,849,481 and 164,682,076 is: 352,900,056.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,849,481 : 164,682,076 = 164,682,076 : x
  2. Step 2: Convert to fraction form
    76,849,481/164,682,076 = 164,682,076/x
  3. Step 3: Cross multiply
    76,849,481x = 164,682,076 × 164,682,076
  4. Step 4: Simplify right side
    76,849,481x = 27,120,186,155,669,776
  5. Step 5: Solve for x
    x = 27,120,186,155,669,776/76,849,481
  6. Step 6: Final answer
    x = 352,900,056.09

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.