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Finding the Third Proportional to 194,209,548.75 and 416,120,419.13

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Solution

The third proportional to 194,209,548.75 and 416,120,419.13 is: 891,594,694.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,209,548.75 : 416,120,419.13 = 416,120,419.13 : x
  2. Step 2: Convert to fraction form
    194,209,548.75/416,120,419.13 = 416,120,419.13/x
  3. Step 3: Cross multiply
    194,209,548.75x = 416,120,419.13 × 416,120,419.13
  4. Step 4: Simplify right side
    194,209,548.75x = 173,156,203,212,765,664
  5. Step 5: Solve for x
    x = 173,156,203,212,765,664/194,209,548.75
  6. Step 6: Final answer
    x = 891,594,694.12

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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.