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Finding the Third Proportional to 97,054 and 211,194

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Solution

The third proportional to 97,054 and 211,194 is: 459,567.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,054 : 211,194 = 211,194 : x
  2. Step 2: Convert to fraction form
    97,054/211,194 = 211,194/x
  3. Step 3: Cross multiply
    97,054x = 211,194 × 211,194
  4. Step 4: Simplify right side
    97,054x = 44,602,905,636
  5. Step 5: Solve for x
    x = 44,602,905,636/97,054
  6. Step 6: Final answer
    x = 459,567.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.