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Finding the Third Proportional to 93,912 and 208,820.50

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Solution

The third proportional to 93,912 and 208,820.50 is: 464,328.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,912 : 208,820.50 = 208,820.50 : x
  2. Step 2: Convert to fraction form
    93,912/208,820.50 = 208,820.50/x
  3. Step 3: Cross multiply
    93,912x = 208,820.50 × 208,820.50
  4. Step 4: Simplify right side
    93,912x = 43,606,001,220.25
  5. Step 5: Solve for x
    x = 43,606,001,220.25/93,912
  6. Step 6: Final answer
    x = 464,328.32

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.