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Finding the Third Proportional to 119,583,823,328 and 168,186,646,404

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Solution

The third proportional to 119,583,823,328 and 168,186,646,404 is: 236,543,265,145.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,583,823,328 : 168,186,646,404 = 168,186,646,404 : x
  2. Step 2: Convert to fraction form
    119,583,823,328/168,186,646,404 = 168,186,646,404/x
  3. Step 3: Cross multiply
    119,583,823,328x = 168,186,646,404 × 168,186,646,404
  4. Step 4: Simplify right side
    119,583,823,328x = 28,286,748,028,624,124,772,352
  5. Step 5: Solve for x
    x = 28,286,748,028,624,124,772,352/119,583,823,328
  6. Step 6: Final answer
    x = 236,543,265,145.80

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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.