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Finding the Third Proportional to 71,734,701 and 114,199,780.50

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Solution

The third proportional to 71,734,701 and 114,199,780.50 is: 181,803,083.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,734,701 : 114,199,780.50 = 114,199,780.50 : x
  2. Step 2: Convert to fraction form
    71,734,701/114,199,780.50 = 114,199,780.50/x
  3. Step 3: Cross multiply
    71,734,701x = 114,199,780.50 × 114,199,780.50
  4. Step 4: Simplify right side
    71,734,701x = 13,041,589,866,248,180
  5. Step 5: Solve for x
    x = 13,041,589,866,248,180/71,734,701
  6. Step 6: Final answer
    x = 181,803,083.93

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.