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Finding the Third Proportional to 68,884,077,876.75 and 107,822,395,705.50

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Solution

The third proportional to 68,884,077,876.75 and 107,822,395,705.50 is: 168,771,498,059.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,884,077,876.75 : 107,822,395,705.50 = 107,822,395,705.50 : x
  2. Step 2: Convert to fraction form
    68,884,077,876.75/107,822,395,705.50 = 107,822,395,705.50/x
  3. Step 3: Cross multiply
    68,884,077,876.75x = 107,822,395,705.50 × 107,822,395,705.50
  4. Step 4: Simplify right side
    68,884,077,876.75x = 11,625,669,015,673,424,052,224
  5. Step 5: Solve for x
    x = 11,625,669,015,673,424,052,224/68,884,077,876.75
  6. Step 6: Final answer
    x = 168,771,498,059.02

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.