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Finding the Third Proportional to 88,031 and 190,090

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Solution

The third proportional to 88,031 and 190,090 is: 410,471.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,031 : 190,090 = 190,090 : x
  2. Step 2: Convert to fraction form
    88,031/190,090 = 190,090/x
  3. Step 3: Cross multiply
    88,031x = 190,090 × 190,090
  4. Step 4: Simplify right side
    88,031x = 36,134,208,100
  5. Step 5: Solve for x
    x = 36,134,208,100/88,031
  6. Step 6: Final answer
    x = 410,471.40

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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.