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Finding the Third Proportional to 81,449,226 and 113,931,522

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Solution

The third proportional to 81,449,226 and 113,931,522 is: 159,367,895.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,449,226 : 113,931,522 = 113,931,522 : x
  2. Step 2: Convert to fraction form
    81,449,226/113,931,522 = 113,931,522/x
  3. Step 3: Cross multiply
    81,449,226x = 113,931,522 × 113,931,522
  4. Step 4: Simplify right side
    81,449,226x = 12,980,391,705,236,484
  5. Step 5: Solve for x
    x = 12,980,391,705,236,484/81,449,226
  6. Step 6: Final answer
    x = 159,367,895.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.