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Finding the Third Proportional to 181,241,675,572 and 284,314,704,162

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Solution

The third proportional to 181,241,675,572 and 284,314,704,162 is: 446,005,868,946.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,241,675,572 : 284,314,704,162 = 284,314,704,162 : x
  2. Step 2: Convert to fraction form
    181,241,675,572/284,314,704,162 = 284,314,704,162/x
  3. Step 3: Cross multiply
    181,241,675,572x = 284,314,704,162 × 284,314,704,162
  4. Step 4: Simplify right side
    181,241,675,572x = 80,834,851,002,725,582,241,792
  5. Step 5: Solve for x
    x = 80,834,851,002,725,582,241,792/181,241,675,572
  6. Step 6: Final answer
    x = 446,005,868,946.04

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.