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Finding the Third Proportional to 116,095.78 and 237,111.47

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Solution

The third proportional to 116,095.78 and 237,111.47 is: 484,271.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,095.78 : 237,111.47 = 237,111.47 : x
  2. Step 2: Convert to fraction form
    116,095.78/237,111.47 = 237,111.47/x
  3. Step 3: Cross multiply
    116,095.78x = 237,111.47 × 237,111.47
  4. Step 4: Simplify right side
    116,095.78x = 56,221,848,612.78
  5. Step 5: Solve for x
    x = 56,221,848,612.78/116,095.78
  6. Step 6: Final answer
    x = 484,271.25

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.