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Finding the Third Proportional to 204,855,114 and 450,570,982.50

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Solution

The third proportional to 204,855,114 and 450,570,982.50 is: 991,013,630.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,855,114 : 450,570,982.50 = 450,570,982.50 : x
  2. Step 2: Convert to fraction form
    204,855,114/450,570,982.50 = 450,570,982.50/x
  3. Step 3: Cross multiply
    204,855,114x = 450,570,982.50 × 450,570,982.50
  4. Step 4: Simplify right side
    204,855,114x = 203,014,210,271,015,296
  5. Step 5: Solve for x
    x = 203,014,210,271,015,296/204,855,114
  6. Step 6: Final answer
    x = 991,013,630.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.