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Finding the Third Proportional to 52,297,439 and 114,011,361.50

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Solution

The third proportional to 52,297,439 and 114,011,361.50 is: 248,551,187.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,297,439 : 114,011,361.50 = 114,011,361.50 : x
  2. Step 2: Convert to fraction form
    52,297,439/114,011,361.50 = 114,011,361.50/x
  3. Step 3: Cross multiply
    52,297,439x = 114,011,361.50 × 114,011,361.50
  4. Step 4: Simplify right side
    52,297,439x = 12,998,590,551,083,682
  5. Step 5: Solve for x
    x = 12,998,590,551,083,682/52,297,439
  6. Step 6: Final answer
    x = 248,551,187.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.