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Finding the Third Proportional to 109,870,139,364 and 235,637,391,729

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Solution

The third proportional to 109,870,139,364 and 235,637,391,729 is: 505,369,163,107.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,870,139,364 : 235,637,391,729 = 235,637,391,729 : x
  2. Step 2: Convert to fraction form
    109,870,139,364/235,637,391,729 = 235,637,391,729/x
  3. Step 3: Cross multiply
    109,870,139,364x = 235,637,391,729 × 235,637,391,729
  4. Step 4: Simplify right side
    109,870,139,364x = 55,524,980,380,846,201,503,744
  5. Step 5: Solve for x
    x = 55,524,980,380,846,201,503,744/109,870,139,364
  6. Step 6: Final answer
    x = 505,369,163,107.11

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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.