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Finding the Third Proportional to 185,127,210 and 385,577,288

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Solution

The third proportional to 185,127,210 and 385,577,288 is: 803,068,576.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,127,210 : 385,577,288 = 385,577,288 : x
  2. Step 2: Convert to fraction form
    185,127,210/385,577,288 = 385,577,288/x
  3. Step 3: Cross multiply
    185,127,210x = 385,577,288 × 385,577,288
  4. Step 4: Simplify right side
    185,127,210x = 148,669,845,021,434,944
  5. Step 5: Solve for x
    x = 148,669,845,021,434,944/185,127,210
  6. Step 6: Final answer
    x = 803,068,576.58

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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.