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Finding the Third Proportional to 65,176,928.25 and 141,563,942.25

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Solution

The third proportional to 65,176,928.25 and 141,563,942.25 is: 307,476,131.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,176,928.25 : 141,563,942.25 = 141,563,942.25 : x
  2. Step 2: Convert to fraction form
    65,176,928.25/141,563,942.25 = 141,563,942.25/x
  3. Step 3: Cross multiply
    65,176,928.25x = 141,563,942.25 × 141,563,942.25
  4. Step 4: Simplify right side
    65,176,928.25x = 20,040,349,745,361,336
  5. Step 5: Solve for x
    x = 20,040,349,745,361,336/65,176,928.25
  6. Step 6: Final answer
    x = 307,476,131.25

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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.