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Finding the Third Proportional to 43,129,584 and 92,835,747

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Solution

The third proportional to 43,129,584 and 92,835,747 is: 199,827,476.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,129,584 : 92,835,747 = 92,835,747 : x
  2. Step 2: Convert to fraction form
    43,129,584/92,835,747 = 92,835,747/x
  3. Step 3: Cross multiply
    43,129,584x = 92,835,747 × 92,835,747
  4. Step 4: Simplify right side
    43,129,584x = 8,618,475,921,048,009
  5. Step 5: Solve for x
    x = 8,618,475,921,048,009/43,129,584
  6. Step 6: Final answer
    x = 199,827,476.22

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Why These Related Problems?

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