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Finding the Third Proportional to 201,285,319.50 and 440,257,023

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Solution

The third proportional to 201,285,319.50 and 440,257,023 is: 962,942,785.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,285,319.50 : 440,257,023 = 440,257,023 : x
  2. Step 2: Convert to fraction form
    201,285,319.50/440,257,023 = 440,257,023/x
  3. Step 3: Cross multiply
    201,285,319.50x = 440,257,023 × 440,257,023
  4. Step 4: Simplify right side
    201,285,319.50x = 193,826,246,300,822,528
  5. Step 5: Solve for x
    x = 193,826,246,300,822,528/201,285,319.50
  6. Step 6: Final answer
    x = 962,942,785.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.