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Finding the Third Proportional to 117,499,331,268 and 176,373,361,477.12

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Solution

The third proportional to 117,499,331,268 and 176,373,361,477.12 is: 264,746,720,709.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,499,331,268 : 176,373,361,477.12 = 176,373,361,477.12 : x
  2. Step 2: Convert to fraction form
    117,499,331,268/176,373,361,477.12 = 176,373,361,477.12/x
  3. Step 3: Cross multiply
    117,499,331,268x = 176,373,361,477.12 × 176,373,361,477.12
  4. Step 4: Simplify right side
    117,499,331,268x = 31,107,562,638,738,834,063,360
  5. Step 5: Solve for x
    x = 31,107,562,638,738,834,063,360/117,499,331,268
  6. Step 6: Final answer
    x = 264,746,720,709.30

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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.