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Finding the Third Proportional to 101,538,178 and 154,688,019

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Solution

The third proportional to 101,538,178 and 154,688,019 is: 235,658,977.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,538,178 : 154,688,019 = 154,688,019 : x
  2. Step 2: Convert to fraction form
    101,538,178/154,688,019 = 154,688,019/x
  3. Step 3: Cross multiply
    101,538,178x = 154,688,019 × 154,688,019
  4. Step 4: Simplify right side
    101,538,178x = 23,928,383,222,144,360
  5. Step 5: Solve for x
    x = 23,928,383,222,144,360/101,538,178
  6. Step 6: Final answer
    x = 235,658,977.67

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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.