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Finding the Third Proportional to 130,946.63 and 197,513.44

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Solution

The third proportional to 130,946.63 and 197,513.44 is: 297,919.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,946.63 : 197,513.44 = 197,513.44 : x
  2. Step 2: Convert to fraction form
    130,946.63/197,513.44 = 197,513.44/x
  3. Step 3: Cross multiply
    130,946.63x = 197,513.44 × 197,513.44
  4. Step 4: Simplify right side
    130,946.63x = 39,011,557,993.07
  5. Step 5: Solve for x
    x = 39,011,557,993.07/130,946.63
  6. Step 6: Final answer
    x = 297,919.54

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.