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Finding the Third Proportional to 194,210,640 and 416,054,024

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Solution

The third proportional to 194,210,640 and 416,054,024 is: 891,305,187.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,210,640 : 416,054,024 = 416,054,024 : x
  2. Step 2: Convert to fraction form
    194,210,640/416,054,024 = 416,054,024/x
  3. Step 3: Cross multiply
    194,210,640x = 416,054,024 × 416,054,024
  4. Step 4: Simplify right side
    194,210,640x = 173,100,950,886,592,576
  5. Step 5: Solve for x
    x = 173,100,950,886,592,576/194,210,640
  6. Step 6: Final answer
    x = 891,305,187.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.