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Finding the Third Proportional to 93,842.93 and 202,448.11

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Solution

The third proportional to 93,842.93 and 202,448.11 is: 436,742.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,842.93 : 202,448.11 = 202,448.11 : x
  2. Step 2: Convert to fraction form
    93,842.93/202,448.11 = 202,448.11/x
  3. Step 3: Cross multiply
    93,842.93x = 202,448.11 × 202,448.11
  4. Step 4: Simplify right side
    93,842.93x = 40,985,236,989.51
  5. Step 5: Solve for x
    x = 40,985,236,989.51/93,842.93
  6. Step 6: Final answer
    x = 436,742.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.