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Finding the Third Proportional to 147,847,032 and 229,834,869

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Solution

The third proportional to 147,847,032 and 229,834,869 is: 357,288,653.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,847,032 : 229,834,869 = 229,834,869 : x
  2. Step 2: Convert to fraction form
    147,847,032/229,834,869 = 229,834,869/x
  3. Step 3: Cross multiply
    147,847,032x = 229,834,869 × 229,834,869
  4. Step 4: Simplify right side
    147,847,032x = 52,824,067,008,247,160
  5. Step 5: Solve for x
    x = 52,824,067,008,247,160/147,847,032
  6. Step 6: Final answer
    x = 357,288,653.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.