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Finding the Third Proportional to 117,544,689 and 185,332,212

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Solution

The third proportional to 117,544,689 and 185,332,212 is: 292,212,511.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,544,689 : 185,332,212 = 185,332,212 : x
  2. Step 2: Convert to fraction form
    117,544,689/185,332,212 = 185,332,212/x
  3. Step 3: Cross multiply
    117,544,689x = 185,332,212 × 185,332,212
  4. Step 4: Simplify right side
    117,544,689x = 34,348,028,804,812,944
  5. Step 5: Solve for x
    x = 34,348,028,804,812,944/117,544,689
  6. Step 6: Final answer
    x = 292,212,511.66

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.