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Finding the Third Proportional to 50,656,864.50 and 119,462,962.50

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Solution

The third proportional to 50,656,864.50 and 119,462,962.50 is: 281,726,860.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,656,864.50 : 119,462,962.50 = 119,462,962.50 : x
  2. Step 2: Convert to fraction form
    50,656,864.50/119,462,962.50 = 119,462,962.50/x
  3. Step 3: Cross multiply
    50,656,864.50x = 119,462,962.50 × 119,462,962.50
  4. Step 4: Simplify right side
    50,656,864.50x = 14,271,399,409,276,406
  5. Step 5: Solve for x
    x = 14,271,399,409,276,406/50,656,864.50
  6. Step 6: Final answer
    x = 281,726,860.72

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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.