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Finding the Third Proportional to 99,207 and 234,145

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Solution

The third proportional to 99,207 and 234,145 is: 552,621.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,207 : 234,145 = 234,145 : x
  2. Step 2: Convert to fraction form
    99,207/234,145 = 234,145/x
  3. Step 3: Cross multiply
    99,207x = 234,145 × 234,145
  4. Step 4: Simplify right side
    99,207x = 54,823,881,025
  5. Step 5: Solve for x
    x = 54,823,881,025/99,207
  6. Step 6: Final answer
    x = 552,621.10

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.