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Finding the Third Proportional to 93,693 and 149,854.50

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Solution

The third proportional to 93,693 and 149,854.50 is: 239,680.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,693 : 149,854.50 = 149,854.50 : x
  2. Step 2: Convert to fraction form
    93,693/149,854.50 = 149,854.50/x
  3. Step 3: Cross multiply
    93,693x = 149,854.50 × 149,854.50
  4. Step 4: Simplify right side
    93,693x = 22,456,371,170.25
  5. Step 5: Solve for x
    x = 22,456,371,170.25/93,693
  6. Step 6: Final answer
    x = 239,680.35

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.