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Finding the Third Proportional to 173,243,400 and 385,221,293

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Solution

The third proportional to 173,243,400 and 385,221,293 is: 856,571,993.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,243,400 : 385,221,293 = 385,221,293 : x
  2. Step 2: Convert to fraction form
    173,243,400/385,221,293 = 385,221,293/x
  3. Step 3: Cross multiply
    173,243,400x = 385,221,293 × 385,221,293
  4. Step 4: Simplify right side
    173,243,400x = 148,395,444,580,591,840
  5. Step 5: Solve for x
    x = 148,395,444,580,591,840/173,243,400
  6. Step 6: Final answer
    x = 856,571,993.97

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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.