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Finding the Third Proportional to 262,047,830.50 and 411,040,137.50

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Solution

The third proportional to 262,047,830.50 and 411,040,137.50 is: 644,744,870.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,047,830.50 : 411,040,137.50 = 411,040,137.50 : x
  2. Step 2: Convert to fraction form
    262,047,830.50/411,040,137.50 = 411,040,137.50/x
  3. Step 3: Cross multiply
    262,047,830.50x = 411,040,137.50 × 411,040,137.50
  4. Step 4: Simplify right side
    262,047,830.50x = 168,953,994,636,018,912
  5. Step 5: Solve for x
    x = 168,953,994,636,018,912/262,047,830.50
  6. Step 6: Final answer
    x = 644,744,870.86

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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.