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Finding the Third Proportional to 93,264.30 and 199,835.70

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Solution

The third proportional to 93,264.30 and 199,835.70 is: 428,184.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,264.30 : 199,835.70 = 199,835.70 : x
  2. Step 2: Convert to fraction form
    93,264.30/199,835.70 = 199,835.70/x
  3. Step 3: Cross multiply
    93,264.30x = 199,835.70 × 199,835.70
  4. Step 4: Simplify right side
    93,264.30x = 39,934,307,462.86
  5. Step 5: Solve for x
    x = 39,934,307,462.86/93,264.30
  6. Step 6: Final answer
    x = 428,184.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.