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Finding the Third Proportional to 194,209,569 and 416,120,460

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Solution

The third proportional to 194,209,569 and 416,120,460 is: 891,594,776.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,209,569 : 416,120,460 = 416,120,460 : x
  2. Step 2: Convert to fraction form
    194,209,569/416,120,460 = 416,120,460/x
  3. Step 3: Cross multiply
    194,209,569x = 416,120,460 × 416,120,460
  4. Step 4: Simplify right side
    194,209,569x = 173,156,237,230,611,584
  5. Step 5: Solve for x
    x = 173,156,237,230,611,584/194,209,569
  6. Step 6: Final answer
    x = 891,594,776.31

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.