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Finding the Third Proportional to 47,890,590 and 105,051,870

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Solution

The third proportional to 47,890,590 and 105,051,870 is: 230,439,745.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,890,590 : 105,051,870 = 105,051,870 : x
  2. Step 2: Convert to fraction form
    47,890,590/105,051,870 = 105,051,870/x
  3. Step 3: Cross multiply
    47,890,590x = 105,051,870 × 105,051,870
  4. Step 4: Simplify right side
    47,890,590x = 11,035,895,390,496,900
  5. Step 5: Solve for x
    x = 11,035,895,390,496,900/47,890,590
  6. Step 6: Final answer
    x = 230,439,745.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.