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Finding the Third Proportional to 105,919,542 and 228,559,774.50

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Solution

The third proportional to 105,919,542 and 228,559,774.50 is: 493,200,494.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,919,542 : 228,559,774.50 = 228,559,774.50 : x
  2. Step 2: Convert to fraction form
    105,919,542/228,559,774.50 = 228,559,774.50/x
  3. Step 3: Cross multiply
    105,919,542x = 228,559,774.50 × 228,559,774.50
  4. Step 4: Simplify right side
    105,919,542x = 52,239,570,519,490,848
  5. Step 5: Solve for x
    x = 52,239,570,519,490,848/105,919,542
  6. Step 6: Final answer
    x = 493,200,494.76

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