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Finding the Third Proportional to 66,991,205,256.75 and 103,717,129,357.12

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Solution

The third proportional to 66,991,205,256.75 and 103,717,129,357.12 is: 160,576,942,612.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,991,205,256.75 : 103,717,129,357.12 = 103,717,129,357.12 : x
  2. Step 2: Convert to fraction form
    66,991,205,256.75/103,717,129,357.12 = 103,717,129,357.12/x
  3. Step 3: Cross multiply
    66,991,205,256.75x = 103,717,129,357.12 × 103,717,129,357.12
  4. Step 4: Simplify right side
    66,991,205,256.75x = 10,757,242,922,081,563,181,056
  5. Step 5: Solve for x
    x = 10,757,242,922,081,563,181,056/66,991,205,256.75
  6. Step 6: Final answer
    x = 160,576,942,612.89

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.