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Finding the Third Proportional to 194,209,576 and 416,120,480

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Solution

The third proportional to 194,209,576 and 416,120,480 is: 891,594,829.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,209,576 : 416,120,480 = 416,120,480 : x
  2. Step 2: Convert to fraction form
    194,209,576/416,120,480 = 416,120,480/x
  3. Step 3: Cross multiply
    194,209,576x = 416,120,480 × 416,120,480
  4. Step 4: Simplify right side
    194,209,576x = 173,156,253,875,430,400
  5. Step 5: Solve for x
    x = 173,156,253,875,430,400/194,209,576
  6. Step 6: Final answer
    x = 891,594,829.88

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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.