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Finding the Third Proportional to 170,512,859.50 and 369,701,136.50

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Solution

The third proportional to 170,512,859.50 and 369,701,136.50 is: 801,575,498.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,512,859.50 : 369,701,136.50 = 369,701,136.50 : x
  2. Step 2: Convert to fraction form
    170,512,859.50/369,701,136.50 = 369,701,136.50/x
  3. Step 3: Cross multiply
    170,512,859.50x = 369,701,136.50 × 369,701,136.50
  4. Step 4: Simplify right side
    170,512,859.50x = 136,678,930,329,391,632
  5. Step 5: Solve for x
    x = 136,678,930,329,391,632/170,512,859.50
  6. Step 6: Final answer
    x = 801,575,498.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.