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Finding the Third Proportional to 147,337,043.25 and 245,546,940

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Solution

The third proportional to 147,337,043.25 and 245,546,940 is: 409,220,236.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,337,043.25 : 245,546,940 = 245,546,940 : x
  2. Step 2: Convert to fraction form
    147,337,043.25/245,546,940 = 245,546,940/x
  3. Step 3: Cross multiply
    147,337,043.25x = 245,546,940 × 245,546,940
  4. Step 4: Simplify right side
    147,337,043.25x = 60,293,299,743,363,600
  5. Step 5: Solve for x
    x = 60,293,299,743,363,600/147,337,043.25
  6. Step 6: Final answer
    x = 409,220,236.90

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.