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Finding the Third Proportional to 229,452,974 and 346,096,908

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Solution

The third proportional to 229,452,974 and 346,096,908 is: 522,037,555.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,452,974 : 346,096,908 = 346,096,908 : x
  2. Step 2: Convert to fraction form
    229,452,974/346,096,908 = 346,096,908/x
  3. Step 3: Cross multiply
    229,452,974x = 346,096,908 × 346,096,908
  4. Step 4: Simplify right side
    229,452,974x = 119,783,069,727,160,464
  5. Step 5: Solve for x
    x = 119,783,069,727,160,464/229,452,974
  6. Step 6: Final answer
    x = 522,037,555.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.