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Finding the Third Proportional to 217,715,075,476.50 and 302,715,410,043

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Solution

The third proportional to 217,715,075,476.50 and 302,715,410,043 is: 420,901,581,008.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,715,075,476.50 : 302,715,410,043 = 302,715,410,043 : x
  2. Step 2: Convert to fraction form
    217,715,075,476.50/302,715,410,043 = 302,715,410,043/x
  3. Step 3: Cross multiply
    217,715,075,476.50x = 302,715,410,043 × 302,715,410,043
  4. Step 4: Simplify right side
    217,715,075,476.50x = 91,636,619,477,501,624,713,216
  5. Step 5: Solve for x
    x = 91,636,619,477,501,624,713,216/217,715,075,476.50
  6. Step 6: Final answer
    x = 420,901,581,008.77

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.