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Finding the Third Proportional to 142,580,702 and 305,624,614

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Solution

The third proportional to 142,580,702 and 305,624,614 is: 655,112,531.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,580,702 : 305,624,614 = 305,624,614 : x
  2. Step 2: Convert to fraction form
    142,580,702/305,624,614 = 305,624,614/x
  3. Step 3: Cross multiply
    142,580,702x = 305,624,614 × 305,624,614
  4. Step 4: Simplify right side
    142,580,702x = 93,406,404,682,648,992
  5. Step 5: Solve for x
    x = 93,406,404,682,648,992/142,580,702
  6. Step 6: Final answer
    x = 655,112,531.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.