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Finding the Third Proportional to 117,543,844.50 and 274,484,114

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Solution

The third proportional to 117,543,844.50 and 274,484,114 is: 640,965,327.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,543,844.50 : 274,484,114 = 274,484,114 : x
  2. Step 2: Convert to fraction form
    117,543,844.50/274,484,114 = 274,484,114/x
  3. Step 3: Cross multiply
    117,543,844.50x = 274,484,114 × 274,484,114
  4. Step 4: Simplify right side
    117,543,844.50x = 75,341,528,838,364,992
  5. Step 5: Solve for x
    x = 75,341,528,838,364,992/117,543,844.50
  6. Step 6: Final answer
    x = 640,965,327.95

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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.