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Finding the Third Proportional to 114,431,928 and 172,697,668

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Solution

The third proportional to 114,431,928 and 172,697,668 is: 260,630,796.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,431,928 : 172,697,668 = 172,697,668 : x
  2. Step 2: Convert to fraction form
    114,431,928/172,697,668 = 172,697,668/x
  3. Step 3: Cross multiply
    114,431,928x = 172,697,668 × 172,697,668
  4. Step 4: Simplify right side
    114,431,928x = 29,824,484,532,638,224
  5. Step 5: Solve for x
    x = 29,824,484,532,638,224/114,431,928
  6. Step 6: Final answer
    x = 260,630,796.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.