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Finding the Third Proportional to 85,996,928 and 187,109,728

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Solution

The third proportional to 85,996,928 and 187,109,728 is: 407,108,150.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,996,928 : 187,109,728 = 187,109,728 : x
  2. Step 2: Convert to fraction form
    85,996,928/187,109,728 = 187,109,728/x
  3. Step 3: Cross multiply
    85,996,928x = 187,109,728 × 187,109,728
  4. Step 4: Simplify right side
    85,996,928x = 35,010,050,312,233,984
  5. Step 5: Solve for x
    x = 35,010,050,312,233,984/85,996,928
  6. Step 6: Final answer
    x = 407,108,150.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.