Home / 82,111,232.25-114,796,335.38

Finding the Third Proportional to 82,111,232.25 and 114,796,335.38

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Solution

The third proportional to 82,111,232.25 and 114,796,335.38 is: 160,492,033.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,111,232.25 : 114,796,335.38 = 114,796,335.38 : x
  2. Step 2: Convert to fraction form
    82,111,232.25/114,796,335.38 = 114,796,335.38/x
  3. Step 3: Cross multiply
    82,111,232.25x = 114,796,335.38 × 114,796,335.38
  4. Step 4: Simplify right side
    82,111,232.25x = 13,178,198,615,529,476
  5. Step 5: Solve for x
    x = 13,178,198,615,529,476/82,111,232.25
  6. Step 6: Final answer
    x = 160,492,033.24

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.