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Finding the Third Proportional to 302,096,230.50 and 466,489,416

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Solution

The third proportional to 302,096,230.50 and 466,489,416 is: 720,341,246.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,096,230.50 : 466,489,416 = 466,489,416 : x
  2. Step 2: Convert to fraction form
    302,096,230.50/466,489,416 = 466,489,416/x
  3. Step 3: Cross multiply
    302,096,230.50x = 466,489,416 × 466,489,416
  4. Step 4: Simplify right side
    302,096,230.50x = 217,612,375,240,021,056
  5. Step 5: Solve for x
    x = 217,612,375,240,021,056/302,096,230.50
  6. Step 6: Final answer
    x = 720,341,246.50

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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.