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Finding the Third Proportional to 93,038.25 and 201,829.88

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Solution

The third proportional to 93,038.25 and 201,829.88 is: 437,833.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,038.25 : 201,829.88 = 201,829.88 : x
  2. Step 2: Convert to fraction form
    93,038.25/201,829.88 = 201,829.88/x
  3. Step 3: Cross multiply
    93,038.25x = 201,829.88 × 201,829.88
  4. Step 4: Simplify right side
    93,038.25x = 40,735,298,442.52
  5. Step 5: Solve for x
    x = 40,735,298,442.52/93,038.25
  6. Step 6: Final answer
    x = 437,833.88

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.