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Finding the Third Proportional to 194,525,244.50 and 416,851,497

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Solution

The third proportional to 194,525,244.50 and 416,851,497 is: 893,278,252.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,525,244.50 : 416,851,497 = 416,851,497 : x
  2. Step 2: Convert to fraction form
    194,525,244.50/416,851,497 = 416,851,497/x
  3. Step 3: Cross multiply
    194,525,244.50x = 416,851,497 × 416,851,497
  4. Step 4: Simplify right side
    194,525,244.50x = 173,765,170,551,141,024
  5. Step 5: Solve for x
    x = 173,765,170,551,141,024/194,525,244.50
  6. Step 6: Final answer
    x = 893,278,252.90

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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.