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Finding the Third Proportional to 117,960,471 and 176,940,723

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Solution

The third proportional to 117,960,471 and 176,940,723 is: 265,411,109.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,960,471 : 176,940,723 = 176,940,723 : x
  2. Step 2: Convert to fraction form
    117,960,471/176,940,723 = 176,940,723/x
  3. Step 3: Cross multiply
    117,960,471x = 176,940,723 × 176,940,723
  4. Step 4: Simplify right side
    117,960,471x = 31,308,019,455,762,728
  5. Step 5: Solve for x
    x = 31,308,019,455,762,728/117,960,471
  6. Step 6: Final answer
    x = 265,411,109.25

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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.