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Finding the Third Proportional to 93,577.78 and 146,605.78

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Solution

The third proportional to 93,577.78 and 146,605.78 is: 229,683.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,577.78 : 146,605.78 = 146,605.78 : x
  2. Step 2: Convert to fraction form
    93,577.78/146,605.78 = 146,605.78/x
  3. Step 3: Cross multiply
    93,577.78x = 146,605.78 × 146,605.78
  4. Step 4: Simplify right side
    93,577.78x = 21,493,255,095.92
  5. Step 5: Solve for x
    x = 21,493,255,095.92/93,577.78
  6. Step 6: Final answer
    x = 229,683.32

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.