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Finding the Third Proportional to 46,985 and 99,209

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Solution

The third proportional to 46,985 and 99,209 is: 209,480.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,985 : 99,209 = 99,209 : x
  2. Step 2: Convert to fraction form
    46,985/99,209 = 99,209/x
  3. Step 3: Cross multiply
    46,985x = 99,209 × 99,209
  4. Step 4: Simplify right side
    46,985x = 9,842,425,681
  5. Step 5: Solve for x
    x = 9,842,425,681/46,985
  6. Step 6: Final answer
    x = 209,480.17

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.