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Finding the Third Proportional to 142,034,374.50 and 305,641,155

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Solution

The third proportional to 142,034,374.50 and 305,641,155 is: 657,703,573.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,034,374.50 : 305,641,155 = 305,641,155 : x
  2. Step 2: Convert to fraction form
    142,034,374.50/305,641,155 = 305,641,155/x
  3. Step 3: Cross multiply
    142,034,374.50x = 305,641,155 × 305,641,155
  4. Step 4: Simplify right side
    142,034,374.50x = 93,416,515,629,734,032
  5. Step 5: Solve for x
    x = 93,416,515,629,734,032/142,034,374.50
  6. Step 6: Final answer
    x = 657,703,573.23

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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.