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Finding the Third Proportional to 52,928,097 and 113,965,830

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Solution

The third proportional to 52,928,097 and 113,965,830 is: 245,393,489.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,928,097 : 113,965,830 = 113,965,830 : x
  2. Step 2: Convert to fraction form
    52,928,097/113,965,830 = 113,965,830/x
  3. Step 3: Cross multiply
    52,928,097x = 113,965,830 × 113,965,830
  4. Step 4: Simplify right side
    52,928,097x = 12,988,210,407,588,900
  5. Step 5: Solve for x
    x = 12,988,210,407,588,900/52,928,097
  6. Step 6: Final answer
    x = 245,393,489.35

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.