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Finding the Third Proportional to 179,873,725,666.50 and 399,964,649,157

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Solution

The third proportional to 179,873,725,666.50 and 399,964,649,157 is: 889,355,685,398.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,873,725,666.50 : 399,964,649,157 = 399,964,649,157 : x
  2. Step 2: Convert to fraction form
    179,873,725,666.50/399,964,649,157 = 399,964,649,157/x
  3. Step 3: Cross multiply
    179,873,725,666.50x = 399,964,649,157 × 399,964,649,157
  4. Step 4: Simplify right side
    179,873,725,666.50x = 159,971,720,575,282,113,937,408
  5. Step 5: Solve for x
    x = 159,971,720,575,282,113,937,408/179,873,725,666.50
  6. Step 6: Final answer
    x = 889,355,685,398.34

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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.