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Finding the Third Proportional to 147,508,272 and 318,650,832

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Solution

The third proportional to 147,508,272 and 318,650,832 is: 688,357,007.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,508,272 : 318,650,832 = 318,650,832 : x
  2. Step 2: Convert to fraction form
    147,508,272/318,650,832 = 318,650,832/x
  3. Step 3: Cross multiply
    147,508,272x = 318,650,832 × 318,650,832
  4. Step 4: Simplify right side
    147,508,272x = 101,538,352,734,292,224
  5. Step 5: Solve for x
    x = 101,538,352,734,292,224/147,508,272
  6. Step 6: Final answer
    x = 688,357,007.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.