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Finding the Third Proportional to 96,127,019 and 148,940,271

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Solution

The third proportional to 96,127,019 and 148,940,271 is: 230,769,710.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,127,019 : 148,940,271 = 148,940,271 : x
  2. Step 2: Convert to fraction form
    96,127,019/148,940,271 = 148,940,271/x
  3. Step 3: Cross multiply
    96,127,019x = 148,940,271 × 148,940,271
  4. Step 4: Simplify right side
    96,127,019x = 22,183,204,325,553,440
  5. Step 5: Solve for x
    x = 22,183,204,325,553,440/96,127,019
  6. Step 6: Final answer
    x = 230,769,710.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.