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Finding the Third Proportional to 113,977,964 and 268,791,701

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Solution

The third proportional to 113,977,964 and 268,791,701 is: 633,885,498.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,977,964 : 268,791,701 = 268,791,701 : x
  2. Step 2: Convert to fraction form
    113,977,964/268,791,701 = 268,791,701/x
  3. Step 3: Cross multiply
    113,977,964x = 268,791,701 × 268,791,701
  4. Step 4: Simplify right side
    113,977,964x = 72,248,978,526,473,408
  5. Step 5: Solve for x
    x = 72,248,978,526,473,408/113,977,964
  6. Step 6: Final answer
    x = 633,885,498.49

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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.