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Finding the Third Proportional to 46,307,415 and 100,685,784

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Solution

The third proportional to 46,307,415 and 100,685,784 is: 218,920,168.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,307,415 : 100,685,784 = 100,685,784 : x
  2. Step 2: Convert to fraction form
    46,307,415/100,685,784 = 100,685,784/x
  3. Step 3: Cross multiply
    46,307,415x = 100,685,784 × 100,685,784
  4. Step 4: Simplify right side
    46,307,415x = 10,137,627,099,694,656
  5. Step 5: Solve for x
    x = 10,137,627,099,694,656/46,307,415
  6. Step 6: Final answer
    x = 218,920,168.61

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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.