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Finding the Third Proportional to 345,139,299 and 466,457,328

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Solution

The third proportional to 345,139,299 and 466,457,328 is: 630,419,194.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,139,299 : 466,457,328 = 466,457,328 : x
  2. Step 2: Convert to fraction form
    345,139,299/466,457,328 = 466,457,328/x
  3. Step 3: Cross multiply
    345,139,299x = 466,457,328 × 466,457,328
  4. Step 4: Simplify right side
    345,139,299x = 217,582,438,844,899,584
  5. Step 5: Solve for x
    x = 217,582,438,844,899,584/345,139,299
  6. Step 6: Final answer
    x = 630,419,194.44

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.