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Finding the Third Proportional to 142,034,065 and 305,640,692

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Solution

The third proportional to 142,034,065 and 305,640,692 is: 657,703,013.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,034,065 : 305,640,692 = 305,640,692 : x
  2. Step 2: Convert to fraction form
    142,034,065/305,640,692 = 305,640,692/x
  3. Step 3: Cross multiply
    142,034,065x = 305,640,692 × 305,640,692
  4. Step 4: Simplify right side
    142,034,065x = 93,416,232,606,238,864
  5. Step 5: Solve for x
    x = 93,416,232,606,238,864/142,034,065
  6. Step 6: Final answer
    x = 657,703,013.75

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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.