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Finding the Third Proportional to 46,281 and 96,199.13

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Solution

The third proportional to 46,281 and 96,199.13 is: 199,958.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,281 : 96,199.13 = 96,199.13 : x
  2. Step 2: Convert to fraction form
    46,281/96,199.13 = 96,199.13/x
  3. Step 3: Cross multiply
    46,281x = 96,199.13 × 96,199.13
  4. Step 4: Simplify right side
    46,281x = 9,254,271,650.77
  5. Step 5: Solve for x
    x = 9,254,271,650.77/46,281
  6. Step 6: Final answer
    x = 199,958.33

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.