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Finding the Third Proportional to 138,028,899 and 201,704,716.50

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Solution

The third proportional to 138,028,899 and 201,704,716.50 is: 294,755,612.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,028,899 : 201,704,716.50 = 201,704,716.50 : x
  2. Step 2: Convert to fraction form
    138,028,899/201,704,716.50 = 201,704,716.50/x
  3. Step 3: Cross multiply
    138,028,899x = 201,704,716.50 × 201,704,716.50
  4. Step 4: Simplify right side
    138,028,899x = 40,684,792,658,345,376
  5. Step 5: Solve for x
    x = 40,684,792,658,345,376/138,028,899
  6. Step 6: Final answer
    x = 294,755,612.43

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.