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Finding the Third Proportional to 90,839,526 and 197,012,106

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Solution

The third proportional to 90,839,526 and 197,012,106 is: 427,278,428.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,839,526 : 197,012,106 = 197,012,106 : x
  2. Step 2: Convert to fraction form
    90,839,526/197,012,106 = 197,012,106/x
  3. Step 3: Cross multiply
    90,839,526x = 197,012,106 × 197,012,106
  4. Step 4: Simplify right side
    90,839,526x = 38,813,769,910,555,232
  5. Step 5: Solve for x
    x = 38,813,769,910,555,232/90,839,526
  6. Step 6: Final answer
    x = 427,278,428.45

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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.