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Finding the Third Proportional to 65,176,917.05 and 141,563,917.69

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Solution

The third proportional to 65,176,917.05 and 141,563,917.69 is: 307,476,077.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,176,917.05 : 141,563,917.69 = 141,563,917.69 : x
  2. Step 2: Convert to fraction form
    65,176,917.05/141,563,917.69 = 141,563,917.69/x
  3. Step 3: Cross multiply
    65,176,917.05x = 141,563,917.69 × 141,563,917.69
  4. Step 4: Simplify right side
    65,176,917.05x = 20,040,342,791,033,276
  5. Step 5: Solve for x
    x = 20,040,342,791,033,276/65,176,917.05
  6. Step 6: Final answer
    x = 307,476,077.41

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.