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Finding the Third Proportional to 144,106,400 and 212,348,064

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Solution

The third proportional to 144,106,400 and 212,348,064 is: 312,905,605.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,106,400 : 212,348,064 = 212,348,064 : x
  2. Step 2: Convert to fraction form
    144,106,400/212,348,064 = 212,348,064/x
  3. Step 3: Cross multiply
    144,106,400x = 212,348,064 × 212,348,064
  4. Step 4: Simplify right side
    144,106,400x = 45,091,700,284,548,096
  5. Step 5: Solve for x
    x = 45,091,700,284,548,096/144,106,400
  6. Step 6: Final answer
    x = 312,905,605.06

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.