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Finding the Third Proportional to 204,058,321.88 and 416,681,618.34

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Solution

The third proportional to 204,058,321.88 and 416,681,618.34 is: 850,852,685.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,058,321.88 : 416,681,618.34 = 416,681,618.34 : x
  2. Step 2: Convert to fraction form
    204,058,321.88/416,681,618.34 = 416,681,618.34/x
  3. Step 3: Cross multiply
    204,058,321.88x = 416,681,618.34 × 416,681,618.34
  4. Step 4: Simplify right side
    204,058,321.88x = 173,623,571,065,566,528
  5. Step 5: Solve for x
    x = 173,623,571,065,566,528/204,058,321.88
  6. Step 6: Final answer
    x = 850,852,685.01

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.