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Finding the Third Proportional to 92,145,594,292 and 137,614,569,462

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Solution

The third proportional to 92,145,594,292 and 137,614,569,462 is: 205,520,078,021.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,145,594,292 : 137,614,569,462 = 137,614,569,462 : x
  2. Step 2: Convert to fraction form
    92,145,594,292/137,614,569,462 = 137,614,569,462/x
  3. Step 3: Cross multiply
    92,145,594,292x = 137,614,569,462 × 137,614,569,462
  4. Step 4: Simplify right side
    92,145,594,292x = 18,937,769,728,211,624,656,896
  5. Step 5: Solve for x
    x = 18,937,769,728,211,624,656,896/92,145,594,292
  6. Step 6: Final answer
    x = 205,520,078,021.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.