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Finding the Third Proportional to 141,631,725 and 304,786,806.75

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Solution

The third proportional to 141,631,725 and 304,786,806.75 is: 655,891,168.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,631,725 : 304,786,806.75 = 304,786,806.75 : x
  2. Step 2: Convert to fraction form
    141,631,725/304,786,806.75 = 304,786,806.75/x
  3. Step 3: Cross multiply
    141,631,725x = 304,786,806.75 × 304,786,806.75
  4. Step 4: Simplify right side
    141,631,725x = 92,894,997,568,861,840
  5. Step 5: Solve for x
    x = 92,894,997,568,861,840/141,631,725
  6. Step 6: Final answer
    x = 655,891,168.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.