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Finding the Third Proportional to 188,203,590 and 407,673,612

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Solution

The third proportional to 188,203,590 and 407,673,612 is: 883,074,408.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,203,590 : 407,673,612 = 407,673,612 : x
  2. Step 2: Convert to fraction form
    188,203,590/407,673,612 = 407,673,612/x
  3. Step 3: Cross multiply
    188,203,590x = 407,673,612 × 407,673,612
  4. Step 4: Simplify right side
    188,203,590x = 166,197,773,921,126,528
  5. Step 5: Solve for x
    x = 166,197,773,921,126,528/188,203,590
  6. Step 6: Final answer
    x = 883,074,408.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.