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Finding the Third Proportional to 109,870,139,366 and 235,637,391,733

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Solution

The third proportional to 109,870,139,366 and 235,637,391,733 is: 505,369,163,115.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,870,139,366 : 235,637,391,733 = 235,637,391,733 : x
  2. Step 2: Convert to fraction form
    109,870,139,366/235,637,391,733 = 235,637,391,733/x
  3. Step 3: Cross multiply
    109,870,139,366x = 235,637,391,733 × 235,637,391,733
  4. Step 4: Simplify right side
    109,870,139,366x = 55,524,980,382,731,297,882,112
  5. Step 5: Solve for x
    x = 55,524,980,382,731,297,882,112/109,870,139,366
  6. Step 6: Final answer
    x = 505,369,163,115.07

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.