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Finding the Third Proportional to 93,405 and 147,668.25

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Solution

The third proportional to 93,405 and 147,668.25 is: 233,455.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,405 : 147,668.25 = 147,668.25 : x
  2. Step 2: Convert to fraction form
    93,405/147,668.25 = 147,668.25/x
  3. Step 3: Cross multiply
    93,405x = 147,668.25 × 147,668.25
  4. Step 4: Simplify right side
    93,405x = 21,805,912,058.06
  5. Step 5: Solve for x
    x = 21,805,912,058.06/93,405
  6. Step 6: Final answer
    x = 233,455.51

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.