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Finding the Third Proportional to 189,664,464,350 and 409,558,154,971

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Solution

The third proportional to 189,664,464,350 and 409,558,154,971 is: 884,392,776,886.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,664,464,350 : 409,558,154,971 = 409,558,154,971 : x
  2. Step 2: Convert to fraction form
    189,664,464,350/409,558,154,971 = 409,558,154,971/x
  3. Step 3: Cross multiply
    189,664,464,350x = 409,558,154,971 × 409,558,154,971
  4. Step 4: Simplify right side
    189,664,464,350x = 167,737,882,303,249,636,130,816
  5. Step 5: Solve for x
    x = 167,737,882,303,249,636,130,816/189,664,464,350
  6. Step 6: Final answer
    x = 884,392,776,886.83

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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.