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Finding the Third Proportional to 51,383,150 and 105,490,273

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Solution

The third proportional to 51,383,150 and 105,490,273 is: 216,572,897.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,383,150 : 105,490,273 = 105,490,273 : x
  2. Step 2: Convert to fraction form
    51,383,150/105,490,273 = 105,490,273/x
  3. Step 3: Cross multiply
    51,383,150x = 105,490,273 × 105,490,273
  4. Step 4: Simplify right side
    51,383,150x = 11,128,197,697,614,528
  5. Step 5: Solve for x
    x = 11,128,197,697,614,528/51,383,150
  6. Step 6: Final answer
    x = 216,572,897.88

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.