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Finding the Third Proportional to 51,066,615 and 109,232,950.50

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Solution

The third proportional to 51,066,615 and 109,232,950.50 is: 233,652,406.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,066,615 : 109,232,950.50 = 109,232,950.50 : x
  2. Step 2: Convert to fraction form
    51,066,615/109,232,950.50 = 109,232,950.50/x
  3. Step 3: Cross multiply
    51,066,615x = 109,232,950.50 × 109,232,950.50
  4. Step 4: Simplify right side
    51,066,615x = 11,931,837,474,935,450
  5. Step 5: Solve for x
    x = 11,931,837,474,935,450/51,066,615
  6. Step 6: Final answer
    x = 233,652,406.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.