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Finding the Third Proportional to 76,725,164 and 164,366,973

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Solution

The third proportional to 76,725,164 and 164,366,973 is: 352,120,483.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,725,164 : 164,366,973 = 164,366,973 : x
  2. Step 2: Convert to fraction form
    76,725,164/164,366,973 = 164,366,973/x
  3. Step 3: Cross multiply
    76,725,164x = 164,366,973 × 164,366,973
  4. Step 4: Simplify right side
    76,725,164x = 27,016,501,813,182,728
  5. Step 5: Solve for x
    x = 27,016,501,813,182,728/76,725,164
  6. Step 6: Final answer
    x = 352,120,483.09

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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.