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Finding the Third Proportional to 131,777,594,677 and 185,571,891,747

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Solution

The third proportional to 131,777,594,677 and 185,571,891,747 is: 261,326,116,104.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,777,594,677 : 185,571,891,747 = 185,571,891,747 : x
  2. Step 2: Convert to fraction form
    131,777,594,677/185,571,891,747 = 185,571,891,747/x
  3. Step 3: Cross multiply
    131,777,594,677x = 185,571,891,747 × 185,571,891,747
  4. Step 4: Simplify right side
    131,777,594,677x = 34,436,927,006,560,288,243,712
  5. Step 5: Solve for x
    x = 34,436,927,006,560,288,243,712/131,777,594,677
  6. Step 6: Final answer
    x = 261,326,116,104.70

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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.