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Finding the Third Proportional to 76,725,165 and 164,366,974.50

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Solution

The third proportional to 76,725,165 and 164,366,974.50 is: 352,120,484.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,725,165 : 164,366,974.50 = 164,366,974.50 : x
  2. Step 2: Convert to fraction form
    76,725,165/164,366,974.50 = 164,366,974.50/x
  3. Step 3: Cross multiply
    76,725,165x = 164,366,974.50 × 164,366,974.50
  4. Step 4: Simplify right side
    76,725,165x = 27,016,502,306,283,652
  5. Step 5: Solve for x
    x = 27,016,502,306,283,652/76,725,165
  6. Step 6: Final answer
    x = 352,120,484.93

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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.