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Finding the Third Proportional to 213,166.69 and 455,869.69

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Solution

The third proportional to 213,166.69 and 455,869.69 is: 974,904.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,166.69 : 455,869.69 = 455,869.69 : x
  2. Step 2: Convert to fraction form
    213,166.69/455,869.69 = 455,869.69/x
  3. Step 3: Cross multiply
    213,166.69x = 455,869.69 × 455,869.69
  4. Step 4: Simplify right side
    213,166.69x = 207,817,171,981.35
  5. Step 5: Solve for x
    x = 207,817,171,981.35/213,166.69
  6. Step 6: Final answer
    x = 974,904.54

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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.