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Finding the Third Proportional to 42,779,262 and 92,376,900

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Solution

The third proportional to 42,779,262 and 92,376,900 is: 199,477,299.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,779,262 : 92,376,900 = 92,376,900 : x
  2. Step 2: Convert to fraction form
    42,779,262/92,376,900 = 92,376,900/x
  3. Step 3: Cross multiply
    42,779,262x = 92,376,900 × 92,376,900
  4. Step 4: Simplify right side
    42,779,262x = 8,533,491,653,610,000
  5. Step 5: Solve for x
    x = 8,533,491,653,610,000/42,779,262
  6. Step 6: Final answer
    x = 199,477,299.39

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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.