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Finding the Third Proportional to 105,969,948 and 143,129,787

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Solution

The third proportional to 105,969,948 and 143,129,787 is: 193,320,241.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,969,948 : 143,129,787 = 143,129,787 : x
  2. Step 2: Convert to fraction form
    105,969,948/143,129,787 = 143,129,787/x
  3. Step 3: Cross multiply
    105,969,948x = 143,129,787 × 143,129,787
  4. Step 4: Simplify right side
    105,969,948x = 20,486,135,926,665,368
  5. Step 5: Solve for x
    x = 20,486,135,926,665,368/105,969,948
  6. Step 6: Final answer
    x = 193,320,241.38

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.