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Finding the Third Proportional to 282,147,440.91 and 435,801,697.03

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Solution

The third proportional to 282,147,440.91 and 435,801,697.03 is: 673,134,296.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,147,440.91 : 435,801,697.03 = 435,801,697.03 : x
  2. Step 2: Convert to fraction form
    282,147,440.91/435,801,697.03 = 435,801,697.03/x
  3. Step 3: Cross multiply
    282,147,440.91x = 435,801,697.03 × 435,801,697.03
  4. Step 4: Simplify right side
    282,147,440.91x = 189,923,119,135,317,408
  5. Step 5: Solve for x
    x = 189,923,119,135,317,408/282,147,440.91
  6. Step 6: Final answer
    x = 673,134,296.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.