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Finding the Third Proportional to 362,856,125.25 and 560,328,019.88

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Solution

The third proportional to 362,856,125.25 and 560,328,019.88 is: 865,267,162.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,856,125.25 : 560,328,019.88 = 560,328,019.88 : x
  2. Step 2: Convert to fraction form
    362,856,125.25/560,328,019.88 = 560,328,019.88/x
  3. Step 3: Cross multiply
    362,856,125.25x = 560,328,019.88 × 560,328,019.88
  4. Step 4: Simplify right side
    362,856,125.25x = 313,967,489,857,038,400
  5. Step 5: Solve for x
    x = 313,967,489,857,038,400/362,856,125.25
  6. Step 6: Final answer
    x = 865,267,162.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.