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Finding the Third Proportional to 102,088,122.75 and 156,916,786.50

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Solution

The third proportional to 102,088,122.75 and 156,916,786.50 is: 241,192,385.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,088,122.75 : 156,916,786.50 = 156,916,786.50 : x
  2. Step 2: Convert to fraction form
    102,088,122.75/156,916,786.50 = 156,916,786.50/x
  3. Step 3: Cross multiply
    102,088,122.75x = 156,916,786.50 × 156,916,786.50
  4. Step 4: Simplify right side
    102,088,122.75x = 24,622,877,885,486,584
  5. Step 5: Solve for x
    x = 24,622,877,885,486,584/102,088,122.75
  6. Step 6: Final answer
    x = 241,192,385.78

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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.