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Finding the Third Proportional to 161,467,914 and 244,128,591

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Solution

The third proportional to 161,467,914 and 244,128,591 is: 369,105,957.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,467,914 : 244,128,591 = 244,128,591 : x
  2. Step 2: Convert to fraction form
    161,467,914/244,128,591 = 244,128,591/x
  3. Step 3: Cross multiply
    161,467,914x = 244,128,591 × 244,128,591
  4. Step 4: Simplify right side
    161,467,914x = 59,598,768,943,645,280
  5. Step 5: Solve for x
    x = 59,598,768,943,645,280/161,467,914
  6. Step 6: Final answer
    x = 369,105,957.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.