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Finding the Third Proportional to 132,050,830 and 289,610,800

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Solution

The third proportional to 132,050,830 and 289,610,800 is: 635,167,650.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,050,830 : 289,610,800 = 289,610,800 : x
  2. Step 2: Convert to fraction form
    132,050,830/289,610,800 = 289,610,800/x
  3. Step 3: Cross multiply
    132,050,830x = 289,610,800 × 289,610,800
  4. Step 4: Simplify right side
    132,050,830x = 83,874,415,476,640,000
  5. Step 5: Solve for x
    x = 83,874,415,476,640,000/132,050,830
  6. Step 6: Final answer
    x = 635,167,650.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.