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Finding the Third Proportional to 46,492.31 and 100,364.06

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Solution

The third proportional to 46,492.31 and 100,364.06 is: 216,658.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,492.31 : 100,364.06 = 100,364.06 : x
  2. Step 2: Convert to fraction form
    46,492.31/100,364.06 = 100,364.06/x
  3. Step 3: Cross multiply
    46,492.31x = 100,364.06 × 100,364.06
  4. Step 4: Simplify right side
    46,492.31x = 10,072,945,041.50
  5. Step 5: Solve for x
    x = 10,072,945,041.50/46,492.31
  6. Step 6: Final answer
    x = 216,658.29

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.