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Finding the Third Proportional to 238,589,053,770 and 370,454,990,607

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Solution

The third proportional to 238,589,053,770 and 370,454,990,607 is: 575,201,996,475.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,589,053,770 : 370,454,990,607 = 370,454,990,607 : x
  2. Step 2: Convert to fraction form
    238,589,053,770/370,454,990,607 = 370,454,990,607/x
  3. Step 3: Cross multiply
    238,589,053,770x = 370,454,990,607 × 370,454,990,607
  4. Step 4: Simplify right side
    238,589,053,770x = 137,236,900,065,632,457,850,880
  5. Step 5: Solve for x
    x = 137,236,900,065,632,457,850,880/238,589,053,770
  6. Step 6: Final answer
    x = 575,201,996,475.20

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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.