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Finding the Third Proportional to 185,127,257 and 385,577,385

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Solution

The third proportional to 185,127,257 and 385,577,385 is: 803,068,776.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,127,257 : 385,577,385 = 385,577,385 : x
  2. Step 2: Convert to fraction form
    185,127,257/385,577,385 = 385,577,385/x
  3. Step 3: Cross multiply
    185,127,257x = 385,577,385 × 385,577,385
  4. Step 4: Simplify right side
    185,127,257x = 148,669,919,823,438,240
  5. Step 5: Solve for x
    x = 148,669,919,823,438,240/185,127,257
  6. Step 6: Final answer
    x = 803,068,776.76

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.