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Finding the Third Proportional to 188,609,241,075 and 411,354,769,813.50

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Solution

The third proportional to 188,609,241,075 and 411,354,769,813.50 is: 897,160,423,762.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,609,241,075 : 411,354,769,813.50 = 411,354,769,813.50 : x
  2. Step 2: Convert to fraction form
    188,609,241,075/411,354,769,813.50 = 411,354,769,813.50/x
  3. Step 3: Cross multiply
    188,609,241,075x = 411,354,769,813.50 × 411,354,769,813.50
  4. Step 4: Simplify right side
    188,609,241,075x = 169,212,746,648,317,581,066,240
  5. Step 5: Solve for x
    x = 169,212,746,648,317,581,066,240/188,609,241,075
  6. Step 6: Final answer
    x = 897,160,423,762.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.