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Finding the Third Proportional to 117,960,478 and 176,940,732

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Solution

The third proportional to 117,960,478 and 176,940,732 is: 265,411,120.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,960,478 : 176,940,732 = 176,940,732 : x
  2. Step 2: Convert to fraction form
    117,960,478/176,940,732 = 176,940,732/x
  3. Step 3: Cross multiply
    117,960,478x = 176,940,732 × 176,940,732
  4. Step 4: Simplify right side
    117,960,478x = 31,308,022,640,695,824
  5. Step 5: Solve for x
    x = 31,308,022,640,695,824/117,960,478
  6. Step 6: Final answer
    x = 265,411,120.50

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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.