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Finding the Third Proportional to 93,447 and 199,126.69

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Solution

The third proportional to 93,447 and 199,126.69 is: 424,320.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,447 : 199,126.69 = 199,126.69 : x
  2. Step 2: Convert to fraction form
    93,447/199,126.69 = 199,126.69/x
  3. Step 3: Cross multiply
    93,447x = 199,126.69 × 199,126.69
  4. Step 4: Simplify right side
    93,447x = 39,651,437,674.72
  5. Step 5: Solve for x
    x = 39,651,437,674.72/93,447
  6. Step 6: Final answer
    x = 424,320.07

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.