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Finding the Third Proportional to 179,873,725,712 and 399,964,649,264

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Solution

The third proportional to 179,873,725,712 and 399,964,649,264 is: 889,355,685,649.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,873,725,712 : 399,964,649,264 = 399,964,649,264 : x
  2. Step 2: Convert to fraction form
    179,873,725,712/399,964,649,264 = 399,964,649,264/x
  3. Step 3: Cross multiply
    179,873,725,712x = 399,964,649,264 × 399,964,649,264
  4. Step 4: Simplify right side
    179,873,725,712x = 159,971,720,660,874,537,467,904
  5. Step 5: Solve for x
    x = 159,971,720,660,874,537,467,904/179,873,725,712
  6. Step 6: Final answer
    x = 889,355,685,649.22

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.