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Finding the Third Proportional to 91,090 and 197,732

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Solution

The third proportional to 91,090 and 197,732 is: 429,223.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,090 : 197,732 = 197,732 : x
  2. Step 2: Convert to fraction form
    91,090/197,732 = 197,732/x
  3. Step 3: Cross multiply
    91,090x = 197,732 × 197,732
  4. Step 4: Simplify right side
    91,090x = 39,097,943,824
  5. Step 5: Solve for x
    x = 39,097,943,824/91,090
  6. Step 6: Final answer
    x = 429,223.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.