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Finding the Third Proportional to 194,385,507.75 and 428,392,972.13

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Solution

The third proportional to 194,385,507.75 and 428,392,972.13 is: 944,106,074.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,385,507.75 : 428,392,972.13 = 428,392,972.13 : x
  2. Step 2: Convert to fraction form
    194,385,507.75/428,392,972.13 = 428,392,972.13/x
  3. Step 3: Cross multiply
    194,385,507.75x = 428,392,972.13 × 428,392,972.13
  4. Step 4: Simplify right side
    194,385,507.75x = 183,520,538,566,091,040
  5. Step 5: Solve for x
    x = 183,520,538,566,091,040/194,385,507.75
  6. Step 6: Final answer
    x = 944,106,074.01

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.