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Finding the Third Proportional to 46,184 and 99,959

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Solution

The third proportional to 46,184 and 99,959 is: 216,347.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,184 : 99,959 = 99,959 : x
  2. Step 2: Convert to fraction form
    46,184/99,959 = 99,959/x
  3. Step 3: Cross multiply
    46,184x = 99,959 × 99,959
  4. Step 4: Simplify right side
    46,184x = 9,991,801,681
  5. Step 5: Solve for x
    x = 9,991,801,681/46,184
  6. Step 6: Final answer
    x = 216,347.69

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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.