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Finding the Third Proportional to 97,478,856 and 214,090,668

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Solution

The third proportional to 97,478,856 and 214,090,668 is: 470,202,626.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,478,856 : 214,090,668 = 214,090,668 : x
  2. Step 2: Convert to fraction form
    97,478,856/214,090,668 = 214,090,668/x
  3. Step 3: Cross multiply
    97,478,856x = 214,090,668 × 214,090,668
  4. Step 4: Simplify right side
    97,478,856x = 45,834,814,124,686,224
  5. Step 5: Solve for x
    x = 45,834,814,124,686,224/97,478,856
  6. Step 6: Final answer
    x = 470,202,626.55

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.