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Finding the Third Proportional to 193,524,240 and 299,646,720

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Solution

The third proportional to 193,524,240 and 299,646,720 is: 463,963,360.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,524,240 : 299,646,720 = 299,646,720 : x
  2. Step 2: Convert to fraction form
    193,524,240/299,646,720 = 299,646,720/x
  3. Step 3: Cross multiply
    193,524,240x = 299,646,720 × 299,646,720
  4. Step 4: Simplify right side
    193,524,240x = 89,788,156,806,758,400
  5. Step 5: Solve for x
    x = 89,788,156,806,758,400/193,524,240
  6. Step 6: Final answer
    x = 463,963,360.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.