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Finding the Third Proportional to 230,173,003 and 493,177,250

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Solution

The third proportional to 230,173,003 and 493,177,250 is: 1,056,699,946.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,173,003 : 493,177,250 = 493,177,250 : x
  2. Step 2: Convert to fraction form
    230,173,003/493,177,250 = 493,177,250/x
  3. Step 3: Cross multiply
    230,173,003x = 493,177,250 × 493,177,250
  4. Step 4: Simplify right side
    230,173,003x = 243,223,799,917,562,496
  5. Step 5: Solve for x
    x = 243,223,799,917,562,496/230,173,003
  6. Step 6: Final answer
    x = 1,056,699,946.33

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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.