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Finding the Third Proportional to 66,090,216 and 143,160,144

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Solution

The third proportional to 66,090,216 and 143,160,144 is: 310,103,795.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,090,216 : 143,160,144 = 143,160,144 : x
  2. Step 2: Convert to fraction form
    66,090,216/143,160,144 = 143,160,144/x
  3. Step 3: Cross multiply
    66,090,216x = 143,160,144 × 143,160,144
  4. Step 4: Simplify right side
    66,090,216x = 20,494,826,830,100,736
  5. Step 5: Solve for x
    x = 20,494,826,830,100,736/66,090,216
  6. Step 6: Final answer
    x = 310,103,795.55

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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.