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Finding the Third Proportional to 96,095.11 and 210,289.92

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Solution

The third proportional to 96,095.11 and 210,289.92 is: 460,188.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,095.11 : 210,289.92 = 210,289.92 : x
  2. Step 2: Convert to fraction form
    96,095.11/210,289.92 = 210,289.92/x
  3. Step 3: Cross multiply
    96,095.11x = 210,289.92 × 210,289.92
  4. Step 4: Simplify right side
    96,095.11x = 44,221,851,242.19
  5. Step 5: Solve for x
    x = 44,221,851,242.19/96,095.11
  6. Step 6: Final answer
    x = 460,188.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.