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Finding the Third Proportional to 46,013.06 and 98,582.06

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Solution

The third proportional to 46,013.06 and 98,582.06 is: 211,210.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,013.06 : 98,582.06 = 98,582.06 : x
  2. Step 2: Convert to fraction form
    46,013.06/98,582.06 = 98,582.06/x
  3. Step 3: Cross multiply
    46,013.06x = 98,582.06 × 98,582.06
  4. Step 4: Simplify right side
    46,013.06x = 9,718,423,046.75
  5. Step 5: Solve for x
    x = 9,718,423,046.75/46,013.06
  6. Step 6: Final answer
    x = 211,210.09

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.