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Finding the Third Proportional to 46,094 and 99,594

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Solution

The third proportional to 46,094 and 99,594 is: 215,189.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,094 : 99,594 = 99,594 : x
  2. Step 2: Convert to fraction form
    46,094/99,594 = 99,594/x
  3. Step 3: Cross multiply
    46,094x = 99,594 × 99,594
  4. Step 4: Simplify right side
    46,094x = 9,918,964,836
  5. Step 5: Solve for x
    x = 9,918,964,836/46,094
  6. Step 6: Final answer
    x = 215,189.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.