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Finding the Third Proportional to 194,209,571 and 416,120,464

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Solution

The third proportional to 194,209,571 and 416,120,464 is: 891,594,784.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,209,571 : 416,120,464 = 416,120,464 : x
  2. Step 2: Convert to fraction form
    194,209,571/416,120,464 = 416,120,464/x
  3. Step 3: Cross multiply
    194,209,571x = 416,120,464 × 416,120,464
  4. Step 4: Simplify right side
    194,209,571x = 173,156,240,559,575,296
  5. Step 5: Solve for x
    x = 173,156,240,559,575,296/194,209,571
  6. Step 6: Final answer
    x = 891,594,784.27

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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.