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Finding the Third Proportional to 195,571,880 and 414,457,072

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Solution

The third proportional to 195,571,880 and 414,457,072 is: 878,319,851.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,571,880 : 414,457,072 = 414,457,072 : x
  2. Step 2: Convert to fraction form
    195,571,880/414,457,072 = 414,457,072/x
  3. Step 3: Cross multiply
    195,571,880x = 414,457,072 × 414,457,072
  4. Step 4: Simplify right side
    195,571,880x = 171,774,664,530,813,184
  5. Step 5: Solve for x
    x = 171,774,664,530,813,184/195,571,880
  6. Step 6: Final answer
    x = 878,319,851.15

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.