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Finding the Third Proportional to 46,192.69 and 64,358.06

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Solution

The third proportional to 46,192.69 and 64,358.06 is: 89,667.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,192.69 : 64,358.06 = 64,358.06 : x
  2. Step 2: Convert to fraction form
    46,192.69/64,358.06 = 64,358.06/x
  3. Step 3: Cross multiply
    46,192.69x = 64,358.06 × 64,358.06
  4. Step 4: Simplify right side
    46,192.69x = 4,141,960,208.75
  5. Step 5: Solve for x
    x = 4,141,960,208.75/46,192.69
  6. Step 6: Final answer
    x = 89,667.01

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.