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Finding the Third Proportional to 76,725,166 and 164,366,977

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Solution

The third proportional to 76,725,166 and 164,366,977 is: 352,120,491.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,725,166 : 164,366,977 = 164,366,977 : x
  2. Step 2: Convert to fraction form
    76,725,166/164,366,977 = 164,366,977/x
  3. Step 3: Cross multiply
    76,725,166x = 164,366,977 × 164,366,977
  4. Step 4: Simplify right side
    76,725,166x = 27,016,503,128,118,528
  5. Step 5: Solve for x
    x = 27,016,503,128,118,528/76,725,166
  6. Step 6: Final answer
    x = 352,120,491.05

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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.