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Finding the Third Proportional to 303,292,166 and 654,912,028

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Solution

The third proportional to 303,292,166 and 654,912,028 is: 1,414,180,161.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,292,166 : 654,912,028 = 654,912,028 : x
  2. Step 2: Convert to fraction form
    303,292,166/654,912,028 = 654,912,028/x
  3. Step 3: Cross multiply
    303,292,166x = 654,912,028 × 654,912,028
  4. Step 4: Simplify right side
    303,292,166x = 428,909,764,419,072,768
  5. Step 5: Solve for x
    x = 428,909,764,419,072,768/303,292,166
  6. Step 6: Final answer
    x = 1,414,180,161.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.