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Finding the Third Proportional to 73,240,385,282 and 158,189,371,396

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Solution

The third proportional to 73,240,385,282 and 158,189,371,396 is: 341,667,744,186.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,240,385,282 : 158,189,371,396 = 158,189,371,396 : x
  2. Step 2: Convert to fraction form
    73,240,385,282/158,189,371,396 = 158,189,371,396/x
  3. Step 3: Cross multiply
    73,240,385,282x = 158,189,371,396 × 158,189,371,396
  4. Step 4: Simplify right side
    73,240,385,282x = 25,023,877,222,661,621,809,152
  5. Step 5: Solve for x
    x = 25,023,877,222,661,621,809,152/73,240,385,282
  6. Step 6: Final answer
    x = 341,667,744,186.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.