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Finding the Third Proportional to 93,654 and 200,706.75

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Solution

The third proportional to 93,654 and 200,706.75 is: 430,127.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,654 : 200,706.75 = 200,706.75 : x
  2. Step 2: Convert to fraction form
    93,654/200,706.75 = 200,706.75/x
  3. Step 3: Cross multiply
    93,654x = 200,706.75 × 200,706.75
  4. Step 4: Simplify right side
    93,654x = 40,283,199,495.56
  5. Step 5: Solve for x
    x = 40,283,199,495.56/93,654
  6. Step 6: Final answer
    x = 430,127.91

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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.