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Finding the Third Proportional to 96,863,987 and 149,087,256

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Solution

The third proportional to 96,863,987 and 149,087,256 is: 229,466,188.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,863,987 : 149,087,256 = 149,087,256 : x
  2. Step 2: Convert to fraction form
    96,863,987/149,087,256 = 149,087,256/x
  3. Step 3: Cross multiply
    96,863,987x = 149,087,256 × 149,087,256
  4. Step 4: Simplify right side
    96,863,987x = 22,227,009,901,609,536
  5. Step 5: Solve for x
    x = 22,227,009,901,609,536/96,863,987
  6. Step 6: Final answer
    x = 229,466,188.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.