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Finding the Third Proportional to 113,537,166 and 177,866,451

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Solution

The third proportional to 113,537,166 and 177,866,451 is: 278,644,214.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,537,166 : 177,866,451 = 177,866,451 : x
  2. Step 2: Convert to fraction form
    113,537,166/177,866,451 = 177,866,451/x
  3. Step 3: Cross multiply
    113,537,166x = 177,866,451 × 177,866,451
  4. Step 4: Simplify right side
    113,537,166x = 31,636,474,391,335,400
  5. Step 5: Solve for x
    x = 31,636,474,391,335,400/113,537,166
  6. Step 6: Final answer
    x = 278,644,214.10

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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.