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Finding the Third Proportional to 69,228,904 and 147,723,740

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Solution

The third proportional to 69,228,904 and 147,723,740 is: 315,219,541.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,228,904 : 147,723,740 = 147,723,740 : x
  2. Step 2: Convert to fraction form
    69,228,904/147,723,740 = 147,723,740/x
  3. Step 3: Cross multiply
    69,228,904x = 147,723,740 × 147,723,740
  4. Step 4: Simplify right side
    69,228,904x = 21,822,303,359,587,600
  5. Step 5: Solve for x
    x = 21,822,303,359,587,600/69,228,904
  6. Step 6: Final answer
    x = 315,219,541.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.