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Finding the Third Proportional to 105,969,945 and 143,129,782.50

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Solution

The third proportional to 105,969,945 and 143,129,782.50 is: 193,320,234.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,969,945 : 143,129,782.50 = 143,129,782.50 : x
  2. Step 2: Convert to fraction form
    105,969,945/143,129,782.50 = 143,129,782.50/x
  3. Step 3: Cross multiply
    105,969,945x = 143,129,782.50 × 143,129,782.50
  4. Step 4: Simplify right side
    105,969,945x = 20,486,134,638,497,308
  5. Step 5: Solve for x
    x = 20,486,134,638,497,308/105,969,945
  6. Step 6: Final answer
    x = 193,320,234.70

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