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Finding the Third Proportional to 46,281.62 and 99,569.28

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Solution

The third proportional to 46,281.62 and 99,569.28 is: 214,211.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,281.62 : 99,569.28 = 99,569.28 : x
  2. Step 2: Convert to fraction form
    46,281.62/99,569.28 = 99,569.28/x
  3. Step 3: Cross multiply
    46,281.62x = 99,569.28 × 99,569.28
  4. Step 4: Simplify right side
    46,281.62x = 9,914,041,452.63
  5. Step 5: Solve for x
    x = 9,914,041,452.63/46,281.62
  6. Step 6: Final answer
    x = 214,211.19

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.