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Finding the Third Proportional to 141,873,574 and 199,702,194

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Solution

The third proportional to 141,873,574 and 199,702,194 is: 281,102,147.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,873,574 : 199,702,194 = 199,702,194 : x
  2. Step 2: Convert to fraction form
    141,873,574/199,702,194 = 199,702,194/x
  3. Step 3: Cross multiply
    141,873,574x = 199,702,194 × 199,702,194
  4. Step 4: Simplify right side
    141,873,574x = 39,880,966,288,413,632
  5. Step 5: Solve for x
    x = 39,880,966,288,413,632/141,873,574
  6. Step 6: Final answer
    x = 281,102,147.24

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.