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Finding the Third Proportional to 76,037,233.50 and 156,105,429.50

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Solution

The third proportional to 76,037,233.50 and 156,105,429.50 is: 320,486,477.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,037,233.50 : 156,105,429.50 = 156,105,429.50 : x
  2. Step 2: Convert to fraction form
    76,037,233.50/156,105,429.50 = 156,105,429.50/x
  3. Step 3: Cross multiply
    76,037,233.50x = 156,105,429.50 × 156,105,429.50
  4. Step 4: Simplify right side
    76,037,233.50x = 24,368,905,119,379,472
  5. Step 5: Solve for x
    x = 24,368,905,119,379,472/76,037,233.50
  6. Step 6: Final answer
    x = 320,486,477.45

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.