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Finding the Third Proportional to 119,583,823,330 and 168,186,646,407

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Solution

The third proportional to 119,583,823,330 and 168,186,646,407 is: 236,543,265,150.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,583,823,330 : 168,186,646,407 = 168,186,646,407 : x
  2. Step 2: Convert to fraction form
    119,583,823,330/168,186,646,407 = 168,186,646,407/x
  3. Step 3: Cross multiply
    119,583,823,330x = 168,186,646,407 × 168,186,646,407
  4. Step 4: Simplify right side
    119,583,823,330x = 28,286,748,029,633,244,954,624
  5. Step 5: Solve for x
    x = 28,286,748,029,633,244,954,624/119,583,823,330
  6. Step 6: Final answer
    x = 236,543,265,150.29

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.