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Finding the Third Proportional to 97,668,648 and 212,325,910

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Solution

The third proportional to 97,668,648 and 212,325,910 is: 461,584,070.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,668,648 : 212,325,910 = 212,325,910 : x
  2. Step 2: Convert to fraction form
    97,668,648/212,325,910 = 212,325,910/x
  3. Step 3: Cross multiply
    97,668,648x = 212,325,910 × 212,325,910
  4. Step 4: Simplify right side
    97,668,648x = 45,082,292,057,328,096
  5. Step 5: Solve for x
    x = 45,082,292,057,328,096/97,668,648
  6. Step 6: Final answer
    x = 461,584,070.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.