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Finding the Third Proportional to 189,664,464,348 and 409,558,154,967

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Solution

The third proportional to 189,664,464,348 and 409,558,154,967 is: 884,392,776,878.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,664,464,348 : 409,558,154,967 = 409,558,154,967 : x
  2. Step 2: Convert to fraction form
    189,664,464,348/409,558,154,967 = 409,558,154,967/x
  3. Step 3: Cross multiply
    189,664,464,348x = 409,558,154,967 × 409,558,154,967
  4. Step 4: Simplify right side
    189,664,464,348x = 167,737,882,299,973,180,063,744
  5. Step 5: Solve for x
    x = 167,737,882,299,973,180,063,744/189,664,464,348
  6. Step 6: Final answer
    x = 884,392,776,878.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.