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Finding the Third Proportional to 106,489,648 and 152,176,172

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Solution

The third proportional to 106,489,648 and 152,176,172 is: 217,463,272.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,489,648 : 152,176,172 = 152,176,172 : x
  2. Step 2: Convert to fraction form
    106,489,648/152,176,172 = 152,176,172/x
  3. Step 3: Cross multiply
    106,489,648x = 152,176,172 × 152,176,172
  4. Step 4: Simplify right side
    106,489,648x = 23,157,587,324,573,584
  5. Step 5: Solve for x
    x = 23,157,587,324,573,584/106,489,648
  6. Step 6: Final answer
    x = 217,463,272.34

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.