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Finding the Third Proportional to 136,095.19 and 299,360.81

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Solution

The third proportional to 136,095.19 and 299,360.81 is: 658,486.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,095.19 : 299,360.81 = 299,360.81 : x
  2. Step 2: Convert to fraction form
    136,095.19/299,360.81 = 299,360.81/x
  3. Step 3: Cross multiply
    136,095.19x = 299,360.81 × 299,360.81
  4. Step 4: Simplify right side
    136,095.19x = 89,616,896,060.66
  5. Step 5: Solve for x
    x = 89,616,896,060.66/136,095.19
  6. Step 6: Final answer
    x = 658,486.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.