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Finding the Third Proportional to 177,973,972 and 275,428,878

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Solution

The third proportional to 177,973,972 and 275,428,878 is: 426,248,096.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,973,972 : 275,428,878 = 275,428,878 : x
  2. Step 2: Convert to fraction form
    177,973,972/275,428,878 = 275,428,878/x
  3. Step 3: Cross multiply
    177,973,972x = 275,428,878 × 275,428,878
  4. Step 4: Simplify right side
    177,973,972x = 75,861,066,836,338,880
  5. Step 5: Solve for x
    x = 75,861,066,836,338,880/177,973,972
  6. Step 6: Final answer
    x = 426,248,096.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.