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Finding the Third Proportional to 116,500,171.50 and 194,143,675.50

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Solution

The third proportional to 116,500,171.50 and 194,143,675.50 is: 323,534,002.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,500,171.50 : 194,143,675.50 = 194,143,675.50 : x
  2. Step 2: Convert to fraction form
    116,500,171.50/194,143,675.50 = 194,143,675.50/x
  3. Step 3: Cross multiply
    116,500,171.50x = 194,143,675.50 × 194,143,675.50
  4. Step 4: Simplify right side
    116,500,171.50x = 37,691,766,736,649,304
  5. Step 5: Solve for x
    x = 37,691,766,736,649,304/116,500,171.50
  6. Step 6: Final answer
    x = 323,534,002.15

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.