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Finding the Third Proportional to 81,197,160 and 191,610,762

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Solution

The third proportional to 81,197,160 and 191,610,762 is: 452,167,096.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,197,160 : 191,610,762 = 191,610,762 : x
  2. Step 2: Convert to fraction form
    81,197,160/191,610,762 = 191,610,762/x
  3. Step 3: Cross multiply
    81,197,160x = 191,610,762 × 191,610,762
  4. Step 4: Simplify right side
    81,197,160x = 36,714,684,114,220,640
  5. Step 5: Solve for x
    x = 36,714,684,114,220,640/81,197,160
  6. Step 6: Final answer
    x = 452,167,096.91

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.