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Finding the Third Proportional to 302,096,415 and 466,489,729.50

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Solution

The third proportional to 302,096,415 and 466,489,729.50 is: 720,341,774.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,096,415 : 466,489,729.50 = 466,489,729.50 : x
  2. Step 2: Convert to fraction form
    302,096,415/466,489,729.50 = 466,489,729.50/x
  3. Step 3: Cross multiply
    302,096,415x = 466,489,729.50 × 466,489,729.50
  4. Step 4: Simplify right side
    302,096,415x = 217,612,667,728,983,168
  5. Step 5: Solve for x
    x = 217,612,667,728,983,168/302,096,415
  6. Step 6: Final answer
    x = 720,341,774.76

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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.