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Finding the Third Proportional to 138,910,572 and 301,734,936

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Solution

The third proportional to 138,910,572 and 301,734,936 is: 655,414,273.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,910,572 : 301,734,936 = 301,734,936 : x
  2. Step 2: Convert to fraction form
    138,910,572/301,734,936 = 301,734,936/x
  3. Step 3: Cross multiply
    138,910,572x = 301,734,936 × 301,734,936
  4. Step 4: Simplify right side
    138,910,572x = 91,043,971,602,924,096
  5. Step 5: Solve for x
    x = 91,043,971,602,924,096/138,910,572
  6. Step 6: Final answer
    x = 655,414,273.31

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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.