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Finding the Third Proportional to 113,977,921 and 268,791,604.50

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Solution

The third proportional to 113,977,921 and 268,791,604.50 is: 633,885,282.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,977,921 : 268,791,604.50 = 268,791,604.50 : x
  2. Step 2: Convert to fraction form
    113,977,921/268,791,604.50 = 268,791,604.50/x
  3. Step 3: Cross multiply
    113,977,921x = 268,791,604.50 × 268,791,604.50
  4. Step 4: Simplify right side
    113,977,921x = 72,248,926,649,684,416
  5. Step 5: Solve for x
    x = 72,248,926,649,684,416/113,977,921
  6. Step 6: Final answer
    x = 633,885,282.48

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.