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Finding the Third Proportional to 45,936,931.50 and 100,219,234.50

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Solution

The third proportional to 45,936,931.50 and 100,219,234.50 is: 218,645,317.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,936,931.50 : 100,219,234.50 = 100,219,234.50 : x
  2. Step 2: Convert to fraction form
    45,936,931.50/100,219,234.50 = 100,219,234.50/x
  3. Step 3: Cross multiply
    45,936,931.50x = 100,219,234.50 × 100,219,234.50
  4. Step 4: Simplify right side
    45,936,931.50x = 10,043,894,963,765,990
  5. Step 5: Solve for x
    x = 10,043,894,963,765,990/45,936,931.50
  6. Step 6: Final answer
    x = 218,645,317.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.