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Finding the Third Proportional to 93,862.50 and 201,080.25

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Solution

The third proportional to 93,862.50 and 201,080.25 is: 430,771.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,862.50 : 201,080.25 = 201,080.25 : x
  2. Step 2: Convert to fraction form
    93,862.50/201,080.25 = 201,080.25/x
  3. Step 3: Cross multiply
    93,862.50x = 201,080.25 × 201,080.25
  4. Step 4: Simplify right side
    93,862.50x = 40,433,266,940.06
  5. Step 5: Solve for x
    x = 40,433,266,940.06/93,862.50
  6. Step 6: Final answer
    x = 430,771.26

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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.