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Finding the Third Proportional to 217,703,218.50 and 470,038,797

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Solution

The third proportional to 217,703,218.50 and 470,038,797 is: 1,014,851,650.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,703,218.50 : 470,038,797 = 470,038,797 : x
  2. Step 2: Convert to fraction form
    217,703,218.50/470,038,797 = 470,038,797/x
  3. Step 3: Cross multiply
    217,703,218.50x = 470,038,797 × 470,038,797
  4. Step 4: Simplify right side
    217,703,218.50x = 220,936,470,685,207,200
  5. Step 5: Solve for x
    x = 220,936,470,685,207,200/217,703,218.50
  6. Step 6: Final answer
    x = 1,014,851,650.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.