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Finding the Third Proportional to 134,781,075 and 192,605,654.25

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Solution

The third proportional to 134,781,075 and 192,605,654.25 is: 275,238,478.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,781,075 : 192,605,654.25 = 192,605,654.25 : x
  2. Step 2: Convert to fraction form
    134,781,075/192,605,654.25 = 192,605,654.25/x
  3. Step 3: Cross multiply
    134,781,075x = 192,605,654.25 × 192,605,654.25
  4. Step 4: Simplify right side
    134,781,075x = 37,096,938,049,070,544
  5. Step 5: Solve for x
    x = 37,096,938,049,070,544/134,781,075
  6. Step 6: Final answer
    x = 275,238,478.76

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.