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Finding the Third Proportional to 185,127,209 and 385,577,287

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Solution

The third proportional to 185,127,209 and 385,577,287 is: 803,068,576.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,127,209 : 385,577,287 = 385,577,287 : x
  2. Step 2: Convert to fraction form
    185,127,209/385,577,287 = 385,577,287/x
  3. Step 3: Cross multiply
    185,127,209x = 385,577,287 × 385,577,287
  4. Step 4: Simplify right side
    185,127,209x = 148,669,844,250,280,384
  5. Step 5: Solve for x
    x = 148,669,844,250,280,384/185,127,209
  6. Step 6: Final answer
    x = 803,068,576.76

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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.