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Finding the Third Proportional to 124,473,861.50 and 182,675,155.50

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Solution

The third proportional to 124,473,861.50 and 182,675,155.50 is: 268,090,119.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,473,861.50 : 182,675,155.50 = 182,675,155.50 : x
  2. Step 2: Convert to fraction form
    124,473,861.50/182,675,155.50 = 182,675,155.50/x
  3. Step 3: Cross multiply
    124,473,861.50x = 182,675,155.50 × 182,675,155.50
  4. Step 4: Simplify right side
    124,473,861.50x = 33,370,212,436,949,180
  5. Step 5: Solve for x
    x = 33,370,212,436,949,180/124,473,861.50
  6. Step 6: Final answer
    x = 268,090,119.76

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.