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Finding the Third Proportional to 93,231 and 145,298.81

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Solution

The third proportional to 93,231 and 145,298.81 is: 226,445.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,231 : 145,298.81 = 145,298.81 : x
  2. Step 2: Convert to fraction form
    93,231/145,298.81 = 145,298.81/x
  3. Step 3: Cross multiply
    93,231x = 145,298.81 × 145,298.81
  4. Step 4: Simplify right side
    93,231x = 21,111,744,913.91
  5. Step 5: Solve for x
    x = 21,111,744,913.91/93,231
  6. Step 6: Final answer
    x = 226,445.55

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.