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Finding the Third Proportional to 102,088,149 and 156,916,827

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Solution

The third proportional to 102,088,149 and 156,916,827 is: 241,192,448.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,088,149 : 156,916,827 = 156,916,827 : x
  2. Step 2: Convert to fraction form
    102,088,149/156,916,827 = 156,916,827/x
  3. Step 3: Cross multiply
    102,088,149x = 156,916,827 × 156,916,827
  4. Step 4: Simplify right side
    102,088,149x = 24,622,890,595,747,928
  5. Step 5: Solve for x
    x = 24,622,890,595,747,928/102,088,149
  6. Step 6: Final answer
    x = 241,192,448.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.