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Finding the Third Proportional to 51,829,695.50 and 119,989,022

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Solution

The third proportional to 51,829,695.50 and 119,989,022 is: 277,782,172.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,829,695.50 : 119,989,022 = 119,989,022 : x
  2. Step 2: Convert to fraction form
    51,829,695.50/119,989,022 = 119,989,022/x
  3. Step 3: Cross multiply
    51,829,695.50x = 119,989,022 × 119,989,022
  4. Step 4: Simplify right side
    51,829,695.50x = 14,397,365,400,516,484
  5. Step 5: Solve for x
    x = 14,397,365,400,516,484/51,829,695.50
  6. Step 6: Final answer
    x = 277,782,172.20

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.