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Finding the Third Proportional to 93,670.31 and 142,851.94

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Solution

The third proportional to 93,670.31 and 142,851.94 is: 217,856.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,670.31 : 142,851.94 = 142,851.94 : x
  2. Step 2: Convert to fraction form
    93,670.31/142,851.94 = 142,851.94/x
  3. Step 3: Cross multiply
    93,670.31x = 142,851.94 × 142,851.94
  4. Step 4: Simplify right side
    93,670.31x = 20,406,676,047.50
  5. Step 5: Solve for x
    x = 20,406,676,047.50/93,670.31
  6. Step 6: Final answer
    x = 217,856.39

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.