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Finding the Third Proportional to 73,286,871.19 and 157,833,446.06

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Solution

The third proportional to 73,286,871.19 and 157,833,446.06 is: 339,916,226.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,286,871.19 : 157,833,446.06 = 157,833,446.06 : x
  2. Step 2: Convert to fraction form
    73,286,871.19/157,833,446.06 = 157,833,446.06/x
  3. Step 3: Cross multiply
    73,286,871.19x = 157,833,446.06 × 157,833,446.06
  4. Step 4: Simplify right side
    73,286,871.19x = 24,911,396,695,964,096
  5. Step 5: Solve for x
    x = 24,911,396,695,964,096/73,286,871.19
  6. Step 6: Final answer
    x = 339,916,226.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.