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Finding the Third Proportional to 217,667,992.50 and 473,599,048.50

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Solution

The third proportional to 217,667,992.50 and 473,599,048.50 is: 1,030,450,348.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,667,992.50 : 473,599,048.50 = 473,599,048.50 : x
  2. Step 2: Convert to fraction form
    217,667,992.50/473,599,048.50 = 473,599,048.50/x
  3. Step 3: Cross multiply
    217,667,992.50x = 473,599,048.50 × 473,599,048.50
  4. Step 4: Simplify right side
    217,667,992.50x = 224,296,058,740,105,344
  5. Step 5: Solve for x
    x = 224,296,058,740,105,344/217,667,992.50
  6. Step 6: Final answer
    x = 1,030,450,348.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.