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Finding the Third Proportional to 51,155,272 and 107,039,888

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Solution

The third proportional to 51,155,272 and 107,039,888 is: 223,975,695.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,155,272 : 107,039,888 = 107,039,888 : x
  2. Step 2: Convert to fraction form
    51,155,272/107,039,888 = 107,039,888/x
  3. Step 3: Cross multiply
    51,155,272x = 107,039,888 × 107,039,888
  4. Step 4: Simplify right side
    51,155,272x = 11,457,537,623,052,544
  5. Step 5: Solve for x
    x = 11,457,537,623,052,544/51,155,272
  6. Step 6: Final answer
    x = 223,975,695.47

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.