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Finding the Third Proportional to 204,930,979.50 and 314,796,427.50

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Solution

The third proportional to 204,930,979.50 and 314,796,427.50 is: 483,561,787.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,930,979.50 : 314,796,427.50 = 314,796,427.50 : x
  2. Step 2: Convert to fraction form
    204,930,979.50/314,796,427.50 = 314,796,427.50/x
  3. Step 3: Cross multiply
    204,930,979.50x = 314,796,427.50 × 314,796,427.50
  4. Step 4: Simplify right side
    204,930,979.50x = 99,096,790,766,762,752
  5. Step 5: Solve for x
    x = 99,096,790,766,762,752/204,930,979.50
  6. Step 6: Final answer
    x = 483,561,787.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.