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Finding the Third Proportional to 46,699 and 101,335

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Solution

The third proportional to 46,699 and 101,335 is: 219,892.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,699 : 101,335 = 101,335 : x
  2. Step 2: Convert to fraction form
    46,699/101,335 = 101,335/x
  3. Step 3: Cross multiply
    46,699x = 101,335 × 101,335
  4. Step 4: Simplify right side
    46,699x = 10,268,782,225
  5. Step 5: Solve for x
    x = 10,268,782,225/46,699
  6. Step 6: Final answer
    x = 219,892.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.