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Finding the Third Proportional to 102,145,962 and 143,331,012

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Solution

The third proportional to 102,145,962 and 143,331,012 is: 201,121,792.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,145,962 : 143,331,012 = 143,331,012 : x
  2. Step 2: Convert to fraction form
    102,145,962/143,331,012 = 143,331,012/x
  3. Step 3: Cross multiply
    102,145,962x = 143,331,012 × 143,331,012
  4. Step 4: Simplify right side
    102,145,962x = 20,543,779,000,944,144
  5. Step 5: Solve for x
    x = 20,543,779,000,944,144/102,145,962
  6. Step 6: Final answer
    x = 201,121,792.76

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.