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Finding the Third Proportional to 70,607,380.50 and 164,880,229.50

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Solution

The third proportional to 70,607,380.50 and 164,880,229.50 is: 385,023,348.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,607,380.50 : 164,880,229.50 = 164,880,229.50 : x
  2. Step 2: Convert to fraction form
    70,607,380.50/164,880,229.50 = 164,880,229.50/x
  3. Step 3: Cross multiply
    70,607,380.50x = 164,880,229.50 × 164,880,229.50
  4. Step 4: Simplify right side
    70,607,380.50x = 27,185,490,079,972,672
  5. Step 5: Solve for x
    x = 27,185,490,079,972,672/70,607,380.50
  6. Step 6: Final answer
    x = 385,023,348.66

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.