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Finding the Third Proportional to 144,719,152,278 and 218,940,015,009

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Solution

The third proportional to 144,719,152,278 and 218,940,015,009 is: 331,225,891,097.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,719,152,278 : 218,940,015,009 = 218,940,015,009 : x
  2. Step 2: Convert to fraction form
    144,719,152,278/218,940,015,009 = 218,940,015,009/x
  3. Step 3: Cross multiply
    144,719,152,278x = 218,940,015,009 × 218,940,015,009
  4. Step 4: Simplify right side
    144,719,152,278x = 47,934,730,172,141,144,113,152
  5. Step 5: Solve for x
    x = 47,934,730,172,141,144,113,152/144,719,152,278
  6. Step 6: Final answer
    x = 331,225,891,097.40

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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.