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Finding the Third Proportional to 113,977,970 and 268,791,716

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Solution

The third proportional to 113,977,970 and 268,791,716 is: 633,885,535.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,977,970 : 268,791,716 = 268,791,716 : x
  2. Step 2: Convert to fraction form
    113,977,970/268,791,716 = 268,791,716/x
  3. Step 3: Cross multiply
    113,977,970x = 268,791,716 × 268,791,716
  4. Step 4: Simplify right side
    113,977,970x = 72,248,986,590,224,656
  5. Step 5: Solve for x
    x = 72,248,986,590,224,656/113,977,970
  6. Step 6: Final answer
    x = 633,885,535.86

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