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Finding the Third Proportional to 145,438,367.63 and 204,078,825

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Solution

The third proportional to 145,438,367.63 and 204,078,825 is: 286,362,996.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,438,367.63 : 204,078,825 = 204,078,825 : x
  2. Step 2: Convert to fraction form
    145,438,367.63/204,078,825 = 204,078,825/x
  3. Step 3: Cross multiply
    145,438,367.63x = 204,078,825 × 204,078,825
  4. Step 4: Simplify right side
    145,438,367.63x = 41,648,166,813,380,624
  5. Step 5: Solve for x
    x = 41,648,166,813,380,624/145,438,367.63
  6. Step 6: Final answer
    x = 286,362,996.87

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.