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Finding the Third Proportional to 133,668,190.50 and 212,692,363.50

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Solution

The third proportional to 133,668,190.50 and 212,692,363.50 is: 338,435,354.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,668,190.50 : 212,692,363.50 = 212,692,363.50 : x
  2. Step 2: Convert to fraction form
    133,668,190.50/212,692,363.50 = 212,692,363.50/x
  3. Step 3: Cross multiply
    133,668,190.50x = 212,692,363.50 × 212,692,363.50
  4. Step 4: Simplify right side
    133,668,190.50x = 45,238,041,491,216,136
  5. Step 5: Solve for x
    x = 45,238,041,491,216,136/133,668,190.50
  6. Step 6: Final answer
    x = 338,435,354.90

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.