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Finding the Third Proportional to 147,734,112 and 226,608,324

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Solution

The third proportional to 147,734,112 and 226,608,324 is: 347,592,927.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,734,112 : 226,608,324 = 226,608,324 : x
  2. Step 2: Convert to fraction form
    147,734,112/226,608,324 = 226,608,324/x
  3. Step 3: Cross multiply
    147,734,112x = 226,608,324 × 226,608,324
  4. Step 4: Simplify right side
    147,734,112x = 51,351,332,506,088,976
  5. Step 5: Solve for x
    x = 51,351,332,506,088,976/147,734,112
  6. Step 6: Final answer
    x = 347,592,927.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.