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Finding the Third Proportional to 185,127,236 and 385,577,344

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Solution

The third proportional to 185,127,236 and 385,577,344 is: 803,068,697.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,127,236 : 385,577,344 = 385,577,344 : x
  2. Step 2: Convert to fraction form
    185,127,236/385,577,344 = 385,577,344/x
  3. Step 3: Cross multiply
    185,127,236x = 385,577,344 × 385,577,344
  4. Step 4: Simplify right side
    185,127,236x = 148,669,888,206,094,336
  5. Step 5: Solve for x
    x = 148,669,888,206,094,336/185,127,236
  6. Step 6: Final answer
    x = 803,068,697.07

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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.