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Finding the Third Proportional to 104,705,003 and 230,180,488

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Solution

The third proportional to 104,705,003 and 230,180,488 is: 506,022,210.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,705,003 : 230,180,488 = 230,180,488 : x
  2. Step 2: Convert to fraction form
    104,705,003/230,180,488 = 230,180,488/x
  3. Step 3: Cross multiply
    104,705,003x = 230,180,488 × 230,180,488
  4. Step 4: Simplify right side
    104,705,003x = 52,983,057,055,918,144
  5. Step 5: Solve for x
    x = 52,983,057,055,918,144/104,705,003
  6. Step 6: Final answer
    x = 506,022,210.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.