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Finding the Third Proportional to 49,235,808 and 113,971,983

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Solution

The third proportional to 49,235,808 and 113,971,983 is: 263,824,509.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,235,808 : 113,971,983 = 113,971,983 : x
  2. Step 2: Convert to fraction form
    49,235,808/113,971,983 = 113,971,983/x
  3. Step 3: Cross multiply
    49,235,808x = 113,971,983 × 113,971,983
  4. Step 4: Simplify right side
    49,235,808x = 12,989,612,908,952,288
  5. Step 5: Solve for x
    x = 12,989,612,908,952,288/49,235,808
  6. Step 6: Final answer
    x = 263,824,509.77

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.