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Finding the Third Proportional to 99,213 and 234,158

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Solution

The third proportional to 99,213 and 234,158 is: 552,649.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,213 : 234,158 = 234,158 : x
  2. Step 2: Convert to fraction form
    99,213/234,158 = 234,158/x
  3. Step 3: Cross multiply
    99,213x = 234,158 × 234,158
  4. Step 4: Simplify right side
    99,213x = 54,829,968,964
  5. Step 5: Solve for x
    x = 54,829,968,964/99,213
  6. Step 6: Final answer
    x = 552,649.04

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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.