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Finding the Third Proportional to 150,812,430 and 328,497,852

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Solution

The third proportional to 150,812,430 and 328,497,852 is: 715,530,137.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,812,430 : 328,497,852 = 328,497,852 : x
  2. Step 2: Convert to fraction form
    150,812,430/328,497,852 = 328,497,852/x
  3. Step 3: Cross multiply
    150,812,430x = 328,497,852 × 328,497,852
  4. Step 4: Simplify right side
    150,812,430x = 107,910,838,768,613,904
  5. Step 5: Solve for x
    x = 107,910,838,768,613,904/150,812,430
  6. Step 6: Final answer
    x = 715,530,137.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.