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Finding the Third Proportional to 43,897,468 and 96,485,114

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Solution

The third proportional to 43,897,468 and 96,485,114 is: 212,070,938.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,897,468 : 96,485,114 = 96,485,114 : x
  2. Step 2: Convert to fraction form
    43,897,468/96,485,114 = 96,485,114/x
  3. Step 3: Cross multiply
    43,897,468x = 96,485,114 × 96,485,114
  4. Step 4: Simplify right side
    43,897,468x = 9,309,377,223,592,996
  5. Step 5: Solve for x
    x = 9,309,377,223,592,996/43,897,468
  6. Step 6: Final answer
    x = 212,070,938.21

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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.