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Finding the Third Proportional to 46,022 and 99,730

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Solution

The third proportional to 46,022 and 99,730 is: 216,115.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,022 : 99,730 = 99,730 : x
  2. Step 2: Convert to fraction form
    46,022/99,730 = 99,730/x
  3. Step 3: Cross multiply
    46,022x = 99,730 × 99,730
  4. Step 4: Simplify right side
    46,022x = 9,946,072,900
  5. Step 5: Solve for x
    x = 9,946,072,900/46,022
  6. Step 6: Final answer
    x = 216,115.62

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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.