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Finding the Third Proportional to 173,300,532 and 269,206,203

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Solution

The third proportional to 173,300,532 and 269,206,203 is: 418,186,712.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,300,532 : 269,206,203 = 269,206,203 : x
  2. Step 2: Convert to fraction form
    173,300,532/269,206,203 = 269,206,203/x
  3. Step 3: Cross multiply
    173,300,532x = 269,206,203 × 269,206,203
  4. Step 4: Simplify right side
    173,300,532x = 72,471,979,733,677,216
  5. Step 5: Solve for x
    x = 72,471,979,733,677,216/173,300,532
  6. Step 6: Final answer
    x = 418,186,712.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.