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Finding the Third Proportional to 102,088,155 and 156,916,836

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Solution

The third proportional to 102,088,155 and 156,916,836 is: 241,192,461.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,088,155 : 156,916,836 = 156,916,836 : x
  2. Step 2: Convert to fraction form
    102,088,155/156,916,836 = 156,916,836/x
  3. Step 3: Cross multiply
    102,088,155x = 156,916,836 × 156,916,836
  4. Step 4: Simplify right side
    102,088,155x = 24,622,893,420,250,896
  5. Step 5: Solve for x
    x = 24,622,893,420,250,896/102,088,155
  6. Step 6: Final answer
    x = 241,192,461.75

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