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Finding the Third Proportional to 182,684,004 and 299,903,319

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Solution

The third proportional to 182,684,004 and 299,903,319 is: 492,336,486.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,684,004 : 299,903,319 = 299,903,319 : x
  2. Step 2: Convert to fraction form
    182,684,004/299,903,319 = 299,903,319/x
  3. Step 3: Cross multiply
    182,684,004x = 299,903,319 × 299,903,319
  4. Step 4: Simplify right side
    182,684,004x = 89,942,000,747,215,760
  5. Step 5: Solve for x
    x = 89,942,000,747,215,760/182,684,004
  6. Step 6: Final answer
    x = 492,336,486.93

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.