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Finding the Third Proportional to 65,435,243 and 141,775,916

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Solution

The third proportional to 65,435,243 and 141,775,916 is: 307,180,189.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,435,243 : 141,775,916 = 141,775,916 : x
  2. Step 2: Convert to fraction form
    65,435,243/141,775,916 = 141,775,916/x
  3. Step 3: Cross multiply
    65,435,243x = 141,775,916 × 141,775,916
  4. Step 4: Simplify right side
    65,435,243x = 20,100,410,357,639,056
  5. Step 5: Solve for x
    x = 20,100,410,357,639,056/65,435,243
  6. Step 6: Final answer
    x = 307,180,189.70

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Why These Related Problems?

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