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Finding the Third Proportional to 50,666,289.75 and 108,507,033

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Solution

The third proportional to 50,666,289.75 and 108,507,033 is: 232,378,890.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,666,289.75 : 108,507,033 = 108,507,033 : x
  2. Step 2: Convert to fraction form
    50,666,289.75/108,507,033 = 108,507,033/x
  3. Step 3: Cross multiply
    50,666,289.75x = 108,507,033 × 108,507,033
  4. Step 4: Simplify right side
    50,666,289.75x = 11,773,776,210,463,088
  5. Step 5: Solve for x
    x = 11,773,776,210,463,088/50,666,289.75
  6. Step 6: Final answer
    x = 232,378,890.75

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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.