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Finding the Third Proportional to 91,026 and 193,533.75

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Solution

The third proportional to 91,026 and 193,533.75 is: 411,479.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,026 : 193,533.75 = 193,533.75 : x
  2. Step 2: Convert to fraction form
    91,026/193,533.75 = 193,533.75/x
  3. Step 3: Cross multiply
    91,026x = 193,533.75 × 193,533.75
  4. Step 4: Simplify right side
    91,026x = 37,455,312,389.06
  5. Step 5: Solve for x
    x = 37,455,312,389.06/91,026
  6. Step 6: Final answer
    x = 411,479.27

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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.