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Finding the Third Proportional to 42,779,261 and 92,376,898

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Solution

The third proportional to 42,779,261 and 92,376,898 is: 199,477,295.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,779,261 : 92,376,898 = 92,376,898 : x
  2. Step 2: Convert to fraction form
    42,779,261/92,376,898 = 92,376,898/x
  3. Step 3: Cross multiply
    42,779,261x = 92,376,898 × 92,376,898
  4. Step 4: Simplify right side
    42,779,261x = 8,533,491,284,102,404
  5. Step 5: Solve for x
    x = 8,533,491,284,102,404/42,779,261
  6. Step 6: Final answer
    x = 199,477,295.41

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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.