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Finding the Third Proportional to 241,731,438.75 and 517,923,355.50

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Solution

The third proportional to 241,731,438.75 and 517,923,355.50 is: 1,109,680,244.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,731,438.75 : 517,923,355.50 = 517,923,355.50 : x
  2. Step 2: Convert to fraction form
    241,731,438.75/517,923,355.50 = 517,923,355.50/x
  3. Step 3: Cross multiply
    241,731,438.75x = 517,923,355.50 × 517,923,355.50
  4. Step 4: Simplify right side
    241,731,438.75x = 268,244,602,172,379,392
  5. Step 5: Solve for x
    x = 268,244,602,172,379,392/241,731,438.75
  6. Step 6: Final answer
    x = 1,109,680,244.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.