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Finding the Third Proportional to 131,777,594,674.88 and 185,571,891,744.18

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Solution

The third proportional to 131,777,594,674.88 and 185,571,891,744.18 is: 261,326,116,100.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,777,594,674.88 : 185,571,891,744.18 = 185,571,891,744.18 : x
  2. Step 2: Convert to fraction form
    131,777,594,674.88/185,571,891,744.18 = 185,571,891,744.18/x
  3. Step 3: Cross multiply
    131,777,594,674.88x = 185,571,891,744.18 × 185,571,891,744.18
  4. Step 4: Simplify right side
    131,777,594,674.88x = 34,436,927,005,513,658,400,768
  5. Step 5: Solve for x
    x = 34,436,927,005,513,658,400,768/131,777,594,674.88
  6. Step 6: Final answer
    x = 261,326,116,100.97

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.