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Finding the Third Proportional to 164,114,698 and 259,871,469

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Solution

The third proportional to 164,114,698 and 259,871,469 is: 411,499,891.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,114,698 : 259,871,469 = 259,871,469 : x
  2. Step 2: Convert to fraction form
    164,114,698/259,871,469 = 259,871,469/x
  3. Step 3: Cross multiply
    164,114,698x = 259,871,469 × 259,871,469
  4. Step 4: Simplify right side
    164,114,698x = 67,533,180,400,217,960
  5. Step 5: Solve for x
    x = 67,533,180,400,217,960/164,114,698
  6. Step 6: Final answer
    x = 411,499,891.38

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.