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Finding the Third Proportional to 93,459.50 and 205,013

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Solution

The third proportional to 93,459.50 and 205,013 is: 449,717.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,459.50 : 205,013 = 205,013 : x
  2. Step 2: Convert to fraction form
    93,459.50/205,013 = 205,013/x
  3. Step 3: Cross multiply
    93,459.50x = 205,013 × 205,013
  4. Step 4: Simplify right side
    93,459.50x = 42,030,330,169
  5. Step 5: Solve for x
    x = 42,030,330,169/93,459.50
  6. Step 6: Final answer
    x = 449,717.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.