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Finding the Third Proportional to 154,413,123 and 235,237,743

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Solution

The third proportional to 154,413,123 and 235,237,743 is: 358,368,477.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,413,123 : 235,237,743 = 235,237,743 : x
  2. Step 2: Convert to fraction form
    154,413,123/235,237,743 = 235,237,743/x
  3. Step 3: Cross multiply
    154,413,123x = 235,237,743 × 235,237,743
  4. Step 4: Simplify right side
    154,413,123x = 55,336,795,731,734,048
  5. Step 5: Solve for x
    x = 55,336,795,731,734,048/154,413,123
  6. Step 6: Final answer
    x = 358,368,477.09

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.