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Finding the Third Proportional to 140,005,968 and 201,669,768

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Solution

The third proportional to 140,005,968 and 201,669,768 is: 290,492,583.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,005,968 : 201,669,768 = 201,669,768 : x
  2. Step 2: Convert to fraction form
    140,005,968/201,669,768 = 201,669,768/x
  3. Step 3: Cross multiply
    140,005,968x = 201,669,768 × 201,669,768
  4. Step 4: Simplify right side
    140,005,968x = 40,670,695,325,173,824
  5. Step 5: Solve for x
    x = 40,670,695,325,173,824/140,005,968
  6. Step 6: Final answer
    x = 290,492,583.32

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.