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Finding the Third Proportional to 302,096,344.50 and 466,489,622.25

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Solution

The third proportional to 302,096,344.50 and 466,489,622.25 is: 720,341,611.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,096,344.50 : 466,489,622.25 = 466,489,622.25 : x
  2. Step 2: Convert to fraction form
    302,096,344.50/466,489,622.25 = 466,489,622.25/x
  3. Step 3: Cross multiply
    302,096,344.50x = 466,489,622.25 × 466,489,622.25
  4. Step 4: Simplify right side
    302,096,344.50x = 217,612,567,666,947,680
  5. Step 5: Solve for x
    x = 217,612,567,666,947,680/302,096,344.50
  6. Step 6: Final answer
    x = 720,341,611.64

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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.