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Finding the Third Proportional to 76,849,496 and 164,682,106

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Solution

The third proportional to 76,849,496 and 164,682,106 is: 352,900,115.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,849,496 : 164,682,106 = 164,682,106 : x
  2. Step 2: Convert to fraction form
    76,849,496/164,682,106 = 164,682,106/x
  3. Step 3: Cross multiply
    76,849,496x = 164,682,106 × 164,682,106
  4. Step 4: Simplify right side
    76,849,496x = 27,120,196,036,595,236
  5. Step 5: Solve for x
    x = 27,120,196,036,595,236/76,849,496
  6. Step 6: Final answer
    x = 352,900,115.79

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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.