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Finding the Third Proportional to 144,719,152,274 and 218,940,015,003

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Solution

The third proportional to 144,719,152,274 and 218,940,015,003 is: 331,225,891,088.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,719,152,274 : 218,940,015,003 = 218,940,015,003 : x
  2. Step 2: Convert to fraction form
    144,719,152,274/218,940,015,003 = 218,940,015,003/x
  3. Step 3: Cross multiply
    144,719,152,274x = 218,940,015,003 × 218,940,015,003
  4. Step 4: Simplify right side
    144,719,152,274x = 47,934,730,169,513,865,641,984
  5. Step 5: Solve for x
    x = 47,934,730,169,513,865,641,984/144,719,152,274
  6. Step 6: Final answer
    x = 331,225,891,088.40

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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.