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Finding the Third Proportional to 102,088,242 and 156,916,845

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Solution

The third proportional to 102,088,242 and 156,916,845 is: 241,192,283.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,088,242 : 156,916,845 = 156,916,845 : x
  2. Step 2: Convert to fraction form
    102,088,242/156,916,845 = 156,916,845/x
  3. Step 3: Cross multiply
    102,088,242x = 156,916,845 × 156,916,845
  4. Step 4: Simplify right side
    102,088,242x = 24,622,896,244,754,024
  5. Step 5: Solve for x
    x = 24,622,896,244,754,024/102,088,242
  6. Step 6: Final answer
    x = 241,192,283.87

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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.