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Finding the Third Proportional to 254,995,671,168 and 381,088,087,968

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Solution

The third proportional to 254,995,671,168 and 381,088,087,968 is: 569,531,749,797.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,995,671,168 : 381,088,087,968 = 381,088,087,968 : x
  2. Step 2: Convert to fraction form
    254,995,671,168/381,088,087,968 = 381,088,087,968/x
  3. Step 3: Cross multiply
    254,995,671,168x = 381,088,087,968 × 381,088,087,968
  4. Step 4: Simplify right side
    254,995,671,168x = 145,228,130,791,106,107,408,384
  5. Step 5: Solve for x
    x = 145,228,130,791,106,107,408,384/254,995,671,168
  6. Step 6: Final answer
    x = 569,531,749,797.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.