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Finding the Third Proportional to 119,845,616 and 181,027,904

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Solution

The third proportional to 119,845,616 and 181,027,904 is: 273,444,312.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,845,616 : 181,027,904 = 181,027,904 : x
  2. Step 2: Convert to fraction form
    119,845,616/181,027,904 = 181,027,904/x
  3. Step 3: Cross multiply
    119,845,616x = 181,027,904 × 181,027,904
  4. Step 4: Simplify right side
    119,845,616x = 32,771,102,026,633,216
  5. Step 5: Solve for x
    x = 32,771,102,026,633,216/119,845,616
  6. Step 6: Final answer
    x = 273,444,312.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.