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Finding the Third Proportional to 110,618,356 and 159,349,470

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Solution

The third proportional to 110,618,356 and 159,349,470 is: 229,548,282.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,618,356 : 159,349,470 = 159,349,470 : x
  2. Step 2: Convert to fraction form
    110,618,356/159,349,470 = 159,349,470/x
  3. Step 3: Cross multiply
    110,618,356x = 159,349,470 × 159,349,470
  4. Step 4: Simplify right side
    110,618,356x = 25,392,253,589,280,900
  5. Step 5: Solve for x
    x = 25,392,253,589,280,900/110,618,356
  6. Step 6: Final answer
    x = 229,548,282.11

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.