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Finding the Third Proportional to 113,537,170 and 177,866,458

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Solution

The third proportional to 113,537,170 and 177,866,458 is: 278,644,226.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,537,170 : 177,866,458 = 177,866,458 : x
  2. Step 2: Convert to fraction form
    113,537,170/177,866,458 = 177,866,458/x
  3. Step 3: Cross multiply
    113,537,170x = 177,866,458 × 177,866,458
  4. Step 4: Simplify right side
    113,537,170x = 31,636,476,881,465,764
  5. Step 5: Solve for x
    x = 31,636,476,881,465,764/113,537,170
  6. Step 6: Final answer
    x = 278,644,226.22

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.