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Finding the Third Proportional to 129,608,184 and 283,426,215

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Solution

The third proportional to 129,608,184 and 283,426,215 is: 619,794,343.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,608,184 : 283,426,215 = 283,426,215 : x
  2. Step 2: Convert to fraction form
    129,608,184/283,426,215 = 283,426,215/x
  3. Step 3: Cross multiply
    129,608,184x = 283,426,215 × 283,426,215
  4. Step 4: Simplify right side
    129,608,184x = 80,330,419,349,226,224
  5. Step 5: Solve for x
    x = 80,330,419,349,226,224/129,608,184
  6. Step 6: Final answer
    x = 619,794,343.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.