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Finding the Third Proportional to 92,052,798 and 198,452,316

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Solution

The third proportional to 92,052,798 and 198,452,316 is: 427,834,053.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,052,798 : 198,452,316 = 198,452,316 : x
  2. Step 2: Convert to fraction form
    92,052,798/198,452,316 = 198,452,316/x
  3. Step 3: Cross multiply
    92,052,798x = 198,452,316 × 198,452,316
  4. Step 4: Simplify right side
    92,052,798x = 39,383,321,725,763,856
  5. Step 5: Solve for x
    x = 39,383,321,725,763,856/92,052,798
  6. Step 6: Final answer
    x = 427,834,053.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.