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Finding the Third Proportional to 74,776,557 and 120,145,114.50

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Solution

The third proportional to 74,776,557 and 120,145,114.50 is: 193,039,758.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,776,557 : 120,145,114.50 = 120,145,114.50 : x
  2. Step 2: Convert to fraction form
    74,776,557/120,145,114.50 = 120,145,114.50/x
  3. Step 3: Cross multiply
    74,776,557x = 120,145,114.50 × 120,145,114.50
  4. Step 4: Simplify right side
    74,776,557x = 14,434,848,538,218,110
  5. Step 5: Solve for x
    x = 14,434,848,538,218,110/74,776,557
  6. Step 6: Final answer
    x = 193,039,758.95

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.