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Finding the Third Proportional to 116,395,434 and 161,838,564

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Solution

The third proportional to 116,395,434 and 161,838,564 is: 225,023,610.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,395,434 : 161,838,564 = 161,838,564 : x
  2. Step 2: Convert to fraction form
    116,395,434/161,838,564 = 161,838,564/x
  3. Step 3: Cross multiply
    116,395,434x = 161,838,564 × 161,838,564
  4. Step 4: Simplify right side
    116,395,434x = 26,191,720,797,582,096
  5. Step 5: Solve for x
    x = 26,191,720,797,582,096/116,395,434
  6. Step 6: Final answer
    x = 225,023,610.44

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.