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Finding the Third Proportional to 154,105,646 and 225,629,726

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Solution

The third proportional to 154,105,646 and 225,629,726 is: 330,349,825.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,105,646 : 225,629,726 = 225,629,726 : x
  2. Step 2: Convert to fraction form
    154,105,646/225,629,726 = 225,629,726/x
  3. Step 3: Cross multiply
    154,105,646x = 225,629,726 × 225,629,726
  4. Step 4: Simplify right side
    154,105,646x = 50,908,773,254,835,072
  5. Step 5: Solve for x
    x = 50,908,773,254,835,072/154,105,646
  6. Step 6: Final answer
    x = 330,349,825.44

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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.