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Finding the Third Proportional to 90,241,215 and 137,476,896

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Solution

The third proportional to 90,241,215 and 137,476,896 is: 209,437,527.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,241,215 : 137,476,896 = 137,476,896 : x
  2. Step 2: Convert to fraction form
    90,241,215/137,476,896 = 137,476,896/x
  3. Step 3: Cross multiply
    90,241,215x = 137,476,896 × 137,476,896
  4. Step 4: Simplify right side
    90,241,215x = 18,899,896,933,794,816
  5. Step 5: Solve for x
    x = 18,899,896,933,794,816/90,241,215
  6. Step 6: Final answer
    x = 209,437,527.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.