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Finding the Third Proportional to 238,589,053,772 and 370,454,990,608

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Solution

The third proportional to 238,589,053,772 and 370,454,990,608 is: 575,201,996,473.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,589,053,772 : 370,454,990,608 = 370,454,990,608 : x
  2. Step 2: Convert to fraction form
    238,589,053,772/370,454,990,608 = 370,454,990,608/x
  3. Step 3: Cross multiply
    238,589,053,772x = 370,454,990,608 × 370,454,990,608
  4. Step 4: Simplify right side
    238,589,053,772x = 137,236,900,066,373,373,263,872
  5. Step 5: Solve for x
    x = 137,236,900,066,373,373,263,872/238,589,053,772
  6. Step 6: Final answer
    x = 575,201,996,473.48

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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.