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Finding the Third Proportional to 66,090,234 and 143,160,180

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Solution

The third proportional to 66,090,234 and 143,160,180 is: 310,103,867.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,090,234 : 143,160,180 = 143,160,180 : x
  2. Step 2: Convert to fraction form
    66,090,234/143,160,180 = 143,160,180/x
  3. Step 3: Cross multiply
    66,090,234x = 143,160,180 × 143,160,180
  4. Step 4: Simplify right side
    66,090,234x = 20,494,837,137,632,400
  5. Step 5: Solve for x
    x = 20,494,837,137,632,400/66,090,234
  6. Step 6: Final answer
    x = 310,103,867.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.