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Finding the Third Proportional to 92,276,726 and 217,827,892

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Solution

The third proportional to 92,276,726 and 217,827,892 is: 514,203,229.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,276,726 : 217,827,892 = 217,827,892 : x
  2. Step 2: Convert to fraction form
    92,276,726/217,827,892 = 217,827,892/x
  3. Step 3: Cross multiply
    92,276,726x = 217,827,892 × 217,827,892
  4. Step 4: Simplify right side
    92,276,726x = 47,448,990,533,163,664
  5. Step 5: Solve for x
    x = 47,448,990,533,163,664/92,276,726
  6. Step 6: Final answer
    x = 514,203,229.68

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.