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Finding the Third Proportional to 74,602,993.50 and 160,543,399.50

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Solution

The third proportional to 74,602,993.50 and 160,543,399.50 is: 345,484,569.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,602,993.50 : 160,543,399.50 = 160,543,399.50 : x
  2. Step 2: Convert to fraction form
    74,602,993.50/160,543,399.50 = 160,543,399.50/x
  3. Step 3: Cross multiply
    74,602,993.50x = 160,543,399.50 × 160,543,399.50
  4. Step 4: Simplify right side
    74,602,993.50x = 25,774,183,123,016,600
  5. Step 5: Solve for x
    x = 25,774,183,123,016,600/74,602,993.50
  6. Step 6: Final answer
    x = 345,484,569.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.