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Finding the Third Proportional to 104,281,754 and 157,764,819

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Solution

The third proportional to 104,281,754 and 157,764,819 is: 238,677,785.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,281,754 : 157,764,819 = 157,764,819 : x
  2. Step 2: Convert to fraction form
    104,281,754/157,764,819 = 157,764,819/x
  3. Step 3: Cross multiply
    104,281,754x = 157,764,819 × 157,764,819
  4. Step 4: Simplify right side
    104,281,754x = 24,889,738,114,102,760
  5. Step 5: Solve for x
    x = 24,889,738,114,102,760/104,281,754
  6. Step 6: Final answer
    x = 238,677,785.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.