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Finding the Third Proportional to 147,901,285 and 230,805,598

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Solution

The third proportional to 147,901,285 and 230,805,598 is: 360,180,941.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,901,285 : 230,805,598 = 230,805,598 : x
  2. Step 2: Convert to fraction form
    147,901,285/230,805,598 = 230,805,598/x
  3. Step 3: Cross multiply
    147,901,285x = 230,805,598 × 230,805,598
  4. Step 4: Simplify right side
    147,901,285x = 53,271,224,068,137,600
  5. Step 5: Solve for x
    x = 53,271,224,068,137,600/147,901,285
  6. Step 6: Final answer
    x = 360,180,941.42

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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.