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Finding the Third Proportional to 132,160,898 and 283,453,444

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Solution

The third proportional to 132,160,898 and 283,453,444 is: 607,939,686.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,160,898 : 283,453,444 = 283,453,444 : x
  2. Step 2: Convert to fraction form
    132,160,898/283,453,444 = 283,453,444/x
  3. Step 3: Cross multiply
    132,160,898x = 283,453,444 × 283,453,444
  4. Step 4: Simplify right side
    132,160,898x = 80,345,854,915,461,136
  5. Step 5: Solve for x
    x = 80,345,854,915,461,136/132,160,898
  6. Step 6: Final answer
    x = 607,939,686.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.