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Finding the Third Proportional to 96,973,684 and 215,470,723

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Solution

The third proportional to 96,973,684 and 215,470,723 is: 478,765,274.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,973,684 : 215,470,723 = 215,470,723 : x
  2. Step 2: Convert to fraction form
    96,973,684/215,470,723 = 215,470,723/x
  3. Step 3: Cross multiply
    96,973,684x = 215,470,723 × 215,470,723
  4. Step 4: Simplify right side
    96,973,684x = 46,427,632,470,142,728
  5. Step 5: Solve for x
    x = 46,427,632,470,142,728/96,973,684
  6. Step 6: Final answer
    x = 478,765,274.82

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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.