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Finding the Third Proportional to 98,826,576 and 153,208,728

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Solution

The third proportional to 98,826,576 and 153,208,728 is: 237,516,215.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,826,576 : 153,208,728 = 153,208,728 : x
  2. Step 2: Convert to fraction form
    98,826,576/153,208,728 = 153,208,728/x
  3. Step 3: Cross multiply
    98,826,576x = 153,208,728 × 153,208,728
  4. Step 4: Simplify right side
    98,826,576x = 23,472,914,335,377,984
  5. Step 5: Solve for x
    x = 23,472,914,335,377,984/98,826,576
  6. Step 6: Final answer
    x = 237,516,215.63

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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.