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Finding the Third Proportional to 173,300,512.50 and 269,206,173

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Solution

The third proportional to 173,300,512.50 and 269,206,173 is: 418,186,666.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,300,512.50 : 269,206,173 = 269,206,173 : x
  2. Step 2: Convert to fraction form
    173,300,512.50/269,206,173 = 269,206,173/x
  3. Step 3: Cross multiply
    173,300,512.50x = 269,206,173 × 269,206,173
  4. Step 4: Simplify right side
    173,300,512.50x = 72,471,963,581,305,936
  5. Step 5: Solve for x
    x = 72,471,963,581,305,936/173,300,512.50
  6. Step 6: Final answer
    x = 418,186,666.25

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