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Finding the Third Proportional to 142,160,487.75 and 218,413,877.63

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Solution

The third proportional to 142,160,487.75 and 218,413,877.63 is: 335,568,783.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,160,487.75 : 218,413,877.63 = 218,413,877.63 : x
  2. Step 2: Convert to fraction form
    142,160,487.75/218,413,877.63 = 218,413,877.63/x
  3. Step 3: Cross multiply
    142,160,487.75x = 218,413,877.63 × 218,413,877.63
  4. Step 4: Simplify right side
    142,160,487.75x = 47,704,621,939,188,472
  5. Step 5: Solve for x
    x = 47,704,621,939,188,472/142,160,487.75
  6. Step 6: Final answer
    x = 335,568,783.52

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.