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Finding the Third Proportional to 97,507 and 211,006

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Solution

The third proportional to 97,507 and 211,006 is: 456,618.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,507 : 211,006 = 211,006 : x
  2. Step 2: Convert to fraction form
    97,507/211,006 = 211,006/x
  3. Step 3: Cross multiply
    97,507x = 211,006 × 211,006
  4. Step 4: Simplify right side
    97,507x = 44,523,532,036
  5. Step 5: Solve for x
    x = 44,523,532,036/97,507
  6. Step 6: Final answer
    x = 456,618.83

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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.