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Finding the Third Proportional to 230,175,504 and 493,100,928

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Solution

The third proportional to 230,175,504 and 493,100,928 is: 1,056,361,432.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,175,504 : 493,100,928 = 493,100,928 : x
  2. Step 2: Convert to fraction form
    230,175,504/493,100,928 = 493,100,928/x
  3. Step 3: Cross multiply
    230,175,504x = 493,100,928 × 493,100,928
  4. Step 4: Simplify right side
    230,175,504x = 243,148,525,194,461,184
  5. Step 5: Solve for x
    x = 243,148,525,194,461,184/230,175,504
  6. Step 6: Final answer
    x = 1,056,361,432.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.