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Finding the Third Proportional to 46,921,275 and 102,184,092

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Solution

The third proportional to 46,921,275 and 102,184,092 is: 222,534,205.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,921,275 : 102,184,092 = 102,184,092 : x
  2. Step 2: Convert to fraction form
    46,921,275/102,184,092 = 102,184,092/x
  3. Step 3: Cross multiply
    46,921,275x = 102,184,092 × 102,184,092
  4. Step 4: Simplify right side
    46,921,275x = 10,441,588,657,864,464
  5. Step 5: Solve for x
    x = 10,441,588,657,864,464/46,921,275
  6. Step 6: Final answer
    x = 222,534,205.60

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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.