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Finding the Third Proportional to 75,783,492 and 164,311,614

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Solution

The third proportional to 75,783,492 and 164,311,614 is: 356,255,772.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,783,492 : 164,311,614 = 164,311,614 : x
  2. Step 2: Convert to fraction form
    75,783,492/164,311,614 = 164,311,614/x
  3. Step 3: Cross multiply
    75,783,492x = 164,311,614 × 164,311,614
  4. Step 4: Simplify right side
    75,783,492x = 26,998,306,495,284,996
  5. Step 5: Solve for x
    x = 26,998,306,495,284,996/75,783,492
  6. Step 6: Final answer
    x = 356,255,772.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.