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Finding the Third Proportional to 303,292,160 and 654,912,016

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Solution

The third proportional to 303,292,160 and 654,912,016 is: 1,414,180,138.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,292,160 : 654,912,016 = 654,912,016 : x
  2. Step 2: Convert to fraction form
    303,292,160/654,912,016 = 654,912,016/x
  3. Step 3: Cross multiply
    303,292,160x = 654,912,016 × 654,912,016
  4. Step 4: Simplify right side
    303,292,160x = 428,909,748,701,184,256
  5. Step 5: Solve for x
    x = 428,909,748,701,184,256/303,292,160
  6. Step 6: Final answer
    x = 1,414,180,138.06

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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.