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Finding the Third Proportional to 147,901,340 and 230,805,692

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Solution

The third proportional to 147,901,340 and 230,805,692 is: 360,181,100.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,901,340 : 230,805,692 = 230,805,692 : x
  2. Step 2: Convert to fraction form
    147,901,340/230,805,692 = 230,805,692/x
  3. Step 3: Cross multiply
    147,901,340x = 230,805,692 × 230,805,692
  4. Step 4: Simplify right side
    147,901,340x = 53,271,267,459,598,864
  5. Step 5: Solve for x
    x = 53,271,267,459,598,864/147,901,340
  6. Step 6: Final answer
    x = 360,181,100.86

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.