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Finding the Third Proportional to 90,997,812 and 194,750,203.50

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Solution

The third proportional to 90,997,812 and 194,750,203.50 is: 416,797,293.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,997,812 : 194,750,203.50 = 194,750,203.50 : x
  2. Step 2: Convert to fraction form
    90,997,812/194,750,203.50 = 194,750,203.50/x
  3. Step 3: Cross multiply
    90,997,812x = 194,750,203.50 × 194,750,203.50
  4. Step 4: Simplify right side
    90,997,812x = 37,927,641,763,291,416
  5. Step 5: Solve for x
    x = 37,927,641,763,291,416/90,997,812
  6. Step 6: Final answer
    x = 416,797,293.58

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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.