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Finding the Third Proportional to 42,977,974.50 and 92,762,100

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Solution

The third proportional to 42,977,974.50 and 92,762,100 is: 200,214,349.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,977,974.50 : 92,762,100 = 92,762,100 : x
  2. Step 2: Convert to fraction form
    42,977,974.50/92,762,100 = 92,762,100/x
  3. Step 3: Cross multiply
    42,977,974.50x = 92,762,100 × 92,762,100
  4. Step 4: Simplify right side
    42,977,974.50x = 8,604,807,196,410,000
  5. Step 5: Solve for x
    x = 8,604,807,196,410,000/42,977,974.50
  6. Step 6: Final answer
    x = 200,214,349.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.