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Finding the Third Proportional to 46,345.50 and 100,089

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Solution

The third proportional to 46,345.50 and 100,089 is: 216,154.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,345.50 : 100,089 = 100,089 : x
  2. Step 2: Convert to fraction form
    46,345.50/100,089 = 100,089/x
  3. Step 3: Cross multiply
    46,345.50x = 100,089 × 100,089
  4. Step 4: Simplify right side
    46,345.50x = 10,017,807,921
  5. Step 5: Solve for x
    x = 10,017,807,921/46,345.50
  6. Step 6: Final answer
    x = 216,154.92

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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.