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Finding the Third Proportional to 97,017.75 and 212,071.50

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Solution

The third proportional to 97,017.75 and 212,071.50 is: 463,567.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,017.75 : 212,071.50 = 212,071.50 : x
  2. Step 2: Convert to fraction form
    97,017.75/212,071.50 = 212,071.50/x
  3. Step 3: Cross multiply
    97,017.75x = 212,071.50 × 212,071.50
  4. Step 4: Simplify right side
    97,017.75x = 44,974,321,112.25
  5. Step 5: Solve for x
    x = 44,974,321,112.25/97,017.75
  6. Step 6: Final answer
    x = 463,567.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.