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Finding the Third Proportional to 113,720,584 and 166,315,898

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Solution

The third proportional to 113,720,584 and 166,315,898 is: 243,236,333.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,720,584 : 166,315,898 = 166,315,898 : x
  2. Step 2: Convert to fraction form
    113,720,584/166,315,898 = 166,315,898/x
  3. Step 3: Cross multiply
    113,720,584x = 166,315,898 × 166,315,898
  4. Step 4: Simplify right side
    113,720,584x = 27,660,977,927,546,404
  5. Step 5: Solve for x
    x = 27,660,977,927,546,404/113,720,584
  6. Step 6: Final answer
    x = 243,236,333.78

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.