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Finding the Third Proportional to 93,345 and 141,964.50

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Solution

The third proportional to 93,345 and 141,964.50 is: 215,907.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,345 : 141,964.50 = 141,964.50 : x
  2. Step 2: Convert to fraction form
    93,345/141,964.50 = 141,964.50/x
  3. Step 3: Cross multiply
    93,345x = 141,964.50 × 141,964.50
  4. Step 4: Simplify right side
    93,345x = 20,153,919,260.25
  5. Step 5: Solve for x
    x = 20,153,919,260.25/93,345
  6. Step 6: Final answer
    x = 215,907.86

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.