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Finding the Third Proportional to 143,477,924 and 201,327,960

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Solution

The third proportional to 143,477,924 and 201,327,960 is: 282,503,024.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,477,924 : 201,327,960 = 201,327,960 : x
  2. Step 2: Convert to fraction form
    143,477,924/201,327,960 = 201,327,960/x
  3. Step 3: Cross multiply
    143,477,924x = 201,327,960 × 201,327,960
  4. Step 4: Simplify right side
    143,477,924x = 40,532,947,477,761,600
  5. Step 5: Solve for x
    x = 40,532,947,477,761,600/143,477,924
  6. Step 6: Final answer
    x = 282,503,024.49

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.