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Finding the Third Proportional to 117,960,469 and 176,940,719

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Solution

The third proportional to 117,960,469 and 176,940,719 is: 265,411,101.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,960,469 : 176,940,719 = 176,940,719 : x
  2. Step 2: Convert to fraction form
    117,960,469/176,940,719 = 176,940,719/x
  3. Step 3: Cross multiply
    117,960,469x = 176,940,719 × 176,940,719
  4. Step 4: Simplify right side
    117,960,469x = 31,308,018,040,236,960
  5. Step 5: Solve for x
    x = 31,308,018,040,236,960/117,960,469
  6. Step 6: Final answer
    x = 265,411,101.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.