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Finding the Third Proportional to 76,725,167 and 164,366,979

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Solution

The third proportional to 76,725,167 and 164,366,979 is: 352,120,495.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,725,167 : 164,366,979 = 164,366,979 : x
  2. Step 2: Convert to fraction form
    76,725,167/164,366,979 = 164,366,979/x
  3. Step 3: Cross multiply
    76,725,167x = 164,366,979 × 164,366,979
  4. Step 4: Simplify right side
    76,725,167x = 27,016,503,785,586,440
  5. Step 5: Solve for x
    x = 27,016,503,785,586,440/76,725,167
  6. Step 6: Final answer
    x = 352,120,495.03

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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.