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Finding the Third Proportional to 84,348,816 and 184,163,904

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Solution

The third proportional to 84,348,816 and 184,163,904 is: 402,096,261.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,348,816 : 184,163,904 = 184,163,904 : x
  2. Step 2: Convert to fraction form
    84,348,816/184,163,904 = 184,163,904/x
  3. Step 3: Cross multiply
    84,348,816x = 184,163,904 × 184,163,904
  4. Step 4: Simplify right side
    84,348,816x = 33,916,343,536,521,216
  5. Step 5: Solve for x
    x = 33,916,343,536,521,216/84,348,816
  6. Step 6: Final answer
    x = 402,096,261.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.