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Finding the Third Proportional to 40,084,173 and 85,837,056.75

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Solution

The third proportional to 40,084,173 and 85,837,056.75 is: 183,813,205.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,084,173 : 85,837,056.75 = 85,837,056.75 : x
  2. Step 2: Convert to fraction form
    40,084,173/85,837,056.75 = 85,837,056.75/x
  3. Step 3: Cross multiply
    40,084,173x = 85,837,056.75 × 85,837,056.75
  4. Step 4: Simplify right side
    40,084,173x = 7,368,000,311,502,721
  5. Step 5: Solve for x
    x = 7,368,000,311,502,721/40,084,173
  6. Step 6: Final answer
    x = 183,813,205.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.