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Finding the Third Proportional to 240,315,135 and 493,370,089.50

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Solution

The third proportional to 240,315,135 and 493,370,089.50 is: 1,012,895,193.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,315,135 : 493,370,089.50 = 493,370,089.50 : x
  2. Step 2: Convert to fraction form
    240,315,135/493,370,089.50 = 493,370,089.50/x
  3. Step 3: Cross multiply
    240,315,135x = 493,370,089.50 × 493,370,089.50
  4. Step 4: Simplify right side
    240,315,135x = 243,414,045,213,238,016
  5. Step 5: Solve for x
    x = 243,414,045,213,238,016/240,315,135
  6. Step 6: Final answer
    x = 1,012,895,193.69

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.