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Finding the Third Proportional to 199,199 and 430,090

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Solution

The third proportional to 199,199 and 430,090 is: 928,606.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,199 : 430,090 = 430,090 : x
  2. Step 2: Convert to fraction form
    199,199/430,090 = 430,090/x
  3. Step 3: Cross multiply
    199,199x = 430,090 × 430,090
  4. Step 4: Simplify right side
    199,199x = 184,977,408,100
  5. Step 5: Solve for x
    x = 184,977,408,100/199,199
  6. Step 6: Final answer
    x = 928,606.11

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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.