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Finding the Third Proportional to 71,520,851 and 107,805,336

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Solution

The third proportional to 71,520,851 and 107,805,336 is: 162,497,933.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,520,851 : 107,805,336 = 107,805,336 : x
  2. Step 2: Convert to fraction form
    71,520,851/107,805,336 = 107,805,336/x
  3. Step 3: Cross multiply
    71,520,851x = 107,805,336 × 107,805,336
  4. Step 4: Simplify right side
    71,520,851x = 11,621,990,470,072,896
  5. Step 5: Solve for x
    x = 11,621,990,470,072,896/71,520,851
  6. Step 6: Final answer
    x = 162,497,933.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.