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Finding the Third Proportional to 119,583,823,320 and 168,186,646,392

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Solution

The third proportional to 119,583,823,320 and 168,186,646,392 is: 236,543,265,127.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,583,823,320 : 168,186,646,392 = 168,186,646,392 : x
  2. Step 2: Convert to fraction form
    119,583,823,320/168,186,646,392 = 168,186,646,392/x
  3. Step 3: Cross multiply
    119,583,823,320x = 168,186,646,392 × 168,186,646,392
  4. Step 4: Simplify right side
    119,583,823,320x = 28,286,748,024,587,648,237,568
  5. Step 5: Solve for x
    x = 28,286,748,024,587,648,237,568/119,583,823,320
  6. Step 6: Final answer
    x = 236,543,265,127.87

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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.