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Finding the Third Proportional to 71,872,796.25 and 156,338,448.19

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Solution

The third proportional to 71,872,796.25 and 156,338,448.19 is: 340,069,006.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,872,796.25 : 156,338,448.19 = 156,338,448.19 : x
  2. Step 2: Convert to fraction form
    71,872,796.25/156,338,448.19 = 156,338,448.19/x
  3. Step 3: Cross multiply
    71,872,796.25x = 156,338,448.19 × 156,338,448.19
  4. Step 4: Simplify right side
    71,872,796.25x = 24,441,710,381,675,624
  5. Step 5: Solve for x
    x = 24,441,710,381,675,624/71,872,796.25
  6. Step 6: Final answer
    x = 340,069,006.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.