Home / 82,813,731.75-174,194,448.75

Finding the Third Proportional to 82,813,731.75 and 174,194,448.75

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Solution

The third proportional to 82,813,731.75 and 174,194,448.75 is: 366,409,112.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,813,731.75 : 174,194,448.75 = 174,194,448.75 : x
  2. Step 2: Convert to fraction form
    82,813,731.75/174,194,448.75 = 174,194,448.75/x
  3. Step 3: Cross multiply
    82,813,731.75x = 174,194,448.75 × 174,194,448.75
  4. Step 4: Simplify right side
    82,813,731.75x = 30,343,705,975,316,376
  5. Step 5: Solve for x
    x = 30,343,705,975,316,376/82,813,731.75
  6. Step 6: Final answer
    x = 366,409,112.77

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.