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Finding the Third Proportional to 113,720,488 and 166,315,760

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Solution

The third proportional to 113,720,488 and 166,315,760 is: 243,236,135.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,720,488 : 166,315,760 = 166,315,760 : x
  2. Step 2: Convert to fraction form
    113,720,488/166,315,760 = 166,315,760/x
  3. Step 3: Cross multiply
    113,720,488x = 166,315,760 × 166,315,760
  4. Step 4: Simplify right side
    113,720,488x = 27,660,932,024,377,600
  5. Step 5: Solve for x
    x = 27,660,932,024,377,600/113,720,488
  6. Step 6: Final answer
    x = 243,236,135.47

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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.