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Finding the Third Proportional to 51,509,169 and 109,159,434

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Solution

The third proportional to 51,509,169 and 109,159,434 is: 231,333,222.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,509,169 : 109,159,434 = 109,159,434 : x
  2. Step 2: Convert to fraction form
    51,509,169/109,159,434 = 109,159,434/x
  3. Step 3: Cross multiply
    51,509,169x = 109,159,434 × 109,159,434
  4. Step 4: Simplify right side
    51,509,169x = 11,915,782,031,200,356
  5. Step 5: Solve for x
    x = 11,915,782,031,200,356/51,509,169
  6. Step 6: Final answer
    x = 231,333,222.08

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.