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Finding the Third Proportional to 70,642,905,135.75 and 108,583,210,023.75

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Solution

The third proportional to 70,642,905,135.75 and 108,583,210,023.75 is: 166,900,178,813.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,642,905,135.75 : 108,583,210,023.75 = 108,583,210,023.75 : x
  2. Step 2: Convert to fraction form
    70,642,905,135.75/108,583,210,023.75 = 108,583,210,023.75/x
  3. Step 3: Cross multiply
    70,642,905,135.75x = 108,583,210,023.75 × 108,583,210,023.75
  4. Step 4: Simplify right side
    70,642,905,135.75x = 11,790,313,499,061,802,500,096
  5. Step 5: Solve for x
    x = 11,790,313,499,061,802,500,096/70,642,905,135.75
  6. Step 6: Final answer
    x = 166,900,178,813.50

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.