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Finding the Third Proportional to 137,259,824 and 301,723,552

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Solution

The third proportional to 137,259,824 and 301,723,552 is: 663,246,528.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,259,824 : 301,723,552 = 301,723,552 : x
  2. Step 2: Convert to fraction form
    137,259,824/301,723,552 = 301,723,552/x
  3. Step 3: Cross multiply
    137,259,824x = 301,723,552 × 301,723,552
  4. Step 4: Simplify right side
    137,259,824x = 91,037,101,831,496,704
  5. Step 5: Solve for x
    x = 91,037,101,831,496,704/137,259,824
  6. Step 6: Final answer
    x = 663,246,528.94

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.