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Finding the Third Proportional to 46,184 and 99,658

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Solution

The third proportional to 46,184 and 99,658 is: 215,046.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,184 : 99,658 = 99,658 : x
  2. Step 2: Convert to fraction form
    46,184/99,658 = 99,658/x
  3. Step 3: Cross multiply
    46,184x = 99,658 × 99,658
  4. Step 4: Simplify right side
    46,184x = 9,931,716,964
  5. Step 5: Solve for x
    x = 9,931,716,964/46,184
  6. Step 6: Final answer
    x = 215,046.70

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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.