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Finding the Third Proportional to 46,964 and 97,807

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Solution

The third proportional to 46,964 and 97,807 is: 203,692.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,964 : 97,807 = 97,807 : x
  2. Step 2: Convert to fraction form
    46,964/97,807 = 97,807/x
  3. Step 3: Cross multiply
    46,964x = 97,807 × 97,807
  4. Step 4: Simplify right side
    46,964x = 9,566,209,249
  5. Step 5: Solve for x
    x = 9,566,209,249/46,964
  6. Step 6: Final answer
    x = 203,692.39

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.