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Finding the Third Proportional to 142,826,569.73 and 201,131,283.52

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Solution

The third proportional to 142,826,569.73 and 201,131,283.52 is: 283,237,168.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,826,569.73 : 201,131,283.52 = 201,131,283.52 : x
  2. Step 2: Convert to fraction form
    142,826,569.73/201,131,283.52 = 201,131,283.52/x
  3. Step 3: Cross multiply
    142,826,569.73x = 201,131,283.52 × 201,131,283.52
  4. Step 4: Simplify right side
    142,826,569.73x = 40,453,793,208,640,712
  5. Step 5: Solve for x
    x = 40,453,793,208,640,712/142,826,569.73
  6. Step 6: Final answer
    x = 283,237,168.57

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.