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Finding the Third Proportional to 204,089.63 and 430,869.38

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Solution

The third proportional to 204,089.63 and 430,869.38 is: 909,641.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,089.63 : 430,869.38 = 430,869.38 : x
  2. Step 2: Convert to fraction form
    204,089.63/430,869.38 = 430,869.38/x
  3. Step 3: Cross multiply
    204,089.63x = 430,869.38 × 430,869.38
  4. Step 4: Simplify right side
    204,089.63x = 185,648,418,312.89
  5. Step 5: Solve for x
    x = 185,648,418,312.89/204,089.63
  6. Step 6: Final answer
    x = 909,641.63

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.