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Finding the Third Proportional to 179,873,725,809.25 and 399,964,649,387.50

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Solution

The third proportional to 179,873,725,809.25 and 399,964,649,387.50 is: 889,355,685,717.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,873,725,809.25 : 399,964,649,387.50 = 399,964,649,387.50 : x
  2. Step 2: Convert to fraction form
    179,873,725,809.25/399,964,649,387.50 = 399,964,649,387.50/x
  3. Step 3: Cross multiply
    179,873,725,809.25x = 399,964,649,387.50 × 399,964,649,387.50
  4. Step 4: Simplify right side
    179,873,725,809.25x = 159,971,720,759,665,798,152,192
  5. Step 5: Solve for x
    x = 159,971,720,759,665,798,152,192/179,873,725,809.25
  6. Step 6: Final answer
    x = 889,355,685,717.60

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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.