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Finding the Third Proportional to 99,135,225 and 214,740,018

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Solution

The third proportional to 99,135,225 and 214,740,018 is: 465,155,300.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,135,225 : 214,740,018 = 214,740,018 : x
  2. Step 2: Convert to fraction form
    99,135,225/214,740,018 = 214,740,018/x
  3. Step 3: Cross multiply
    99,135,225x = 214,740,018 × 214,740,018
  4. Step 4: Simplify right side
    99,135,225x = 46,113,275,330,640,320
  5. Step 5: Solve for x
    x = 46,113,275,330,640,320/99,135,225
  6. Step 6: Final answer
    x = 465,155,300.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.