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Finding the Third Proportional to 204,930,885 and 314,796,298.50

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Solution

The third proportional to 204,930,885 and 314,796,298.50 is: 483,561,614.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,930,885 : 314,796,298.50 = 314,796,298.50 : x
  2. Step 2: Convert to fraction form
    204,930,885/314,796,298.50 = 314,796,298.50/x
  3. Step 3: Cross multiply
    204,930,885x = 314,796,298.50 × 314,796,298.50
  4. Step 4: Simplify right side
    204,930,885x = 99,096,709,549,301,104
  5. Step 5: Solve for x
    x = 99,096,709,549,301,104/204,930,885
  6. Step 6: Final answer
    x = 483,561,614.20

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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.