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Finding the Third Proportional to 119,650,226,314.50 and 259,155,796,977

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Solution

The third proportional to 119,650,226,314.50 and 259,155,796,977 is: 561,317,175,700.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,650,226,314.50 : 259,155,796,977 = 259,155,796,977 : x
  2. Step 2: Convert to fraction form
    119,650,226,314.50/259,155,796,977 = 259,155,796,977/x
  3. Step 3: Cross multiply
    119,650,226,314.50x = 259,155,796,977 × 259,155,796,977
  4. Step 4: Simplify right side
    119,650,226,314.50x = 67,161,727,106,784,044,253,184
  5. Step 5: Solve for x
    x = 67,161,727,106,784,044,253,184/119,650,226,314.50
  6. Step 6: Final answer
    x = 561,317,175,700.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.