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Finding the Third Proportional to 68,451,041,503.50 and 146,322,340,561.50

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Solution

The third proportional to 68,451,041,503.50 and 146,322,340,561.50 is: 312,781,615,547.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,451,041,503.50 : 146,322,340,561.50 = 146,322,340,561.50 : x
  2. Step 2: Convert to fraction form
    68,451,041,503.50/146,322,340,561.50 = 146,322,340,561.50/x
  3. Step 3: Cross multiply
    68,451,041,503.50x = 146,322,340,561.50 × 146,322,340,561.50
  4. Step 4: Simplify right side
    68,451,041,503.50x = 21,410,227,347,395,589,439,488
  5. Step 5: Solve for x
    x = 21,410,227,347,395,589,439,488/68,451,041,503.50
  6. Step 6: Final answer
    x = 312,781,615,547.82

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.