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Finding the Third Proportional to 197,425,759,626 and 300,764,488,527

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Solution

The third proportional to 197,425,759,626 and 300,764,488,527 is: 458,193,893,898.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,425,759,626 : 300,764,488,527 = 300,764,488,527 : x
  2. Step 2: Convert to fraction form
    197,425,759,626/300,764,488,527 = 300,764,488,527/x
  3. Step 3: Cross multiply
    197,425,759,626x = 300,764,488,527 × 300,764,488,527
  4. Step 4: Simplify right side
    197,425,759,626x = 90,459,277,558,907,913,895,936
  5. Step 5: Solve for x
    x = 90,459,277,558,907,913,895,936/197,425,759,626
  6. Step 6: Final answer
    x = 458,193,893,898.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.