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Finding the Third Proportional to 185,127,201.50 and 385,577,273

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Solution

The third proportional to 185,127,201.50 and 385,577,273 is: 803,068,550.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,127,201.50 : 385,577,273 = 385,577,273 : x
  2. Step 2: Convert to fraction form
    185,127,201.50/385,577,273 = 385,577,273/x
  3. Step 3: Cross multiply
    185,127,201.50x = 385,577,273 × 385,577,273
  4. Step 4: Simplify right side
    185,127,201.50x = 148,669,833,454,116,544
  5. Step 5: Solve for x
    x = 148,669,833,454,116,544/185,127,201.50
  6. Step 6: Final answer
    x = 803,068,550.97

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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.