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Finding the Third Proportional to 162,105,571.97 and 348,830,884.69

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Solution

The third proportional to 162,105,571.97 and 348,830,884.69 is: 750,640,367.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,105,571.97 : 348,830,884.69 = 348,830,884.69 : x
  2. Step 2: Convert to fraction form
    162,105,571.97/348,830,884.69 = 348,830,884.69/x
  3. Step 3: Cross multiply
    162,105,571.97x = 348,830,884.69 × 348,830,884.69
  4. Step 4: Simplify right side
    162,105,571.97x = 121,682,986,111,863,920
  5. Step 5: Solve for x
    x = 121,682,986,111,863,920/162,105,571.97
  6. Step 6: Final answer
    x = 750,640,367.47

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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.