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Finding the Third Proportional to 146,210,913 and 321,115,441.50

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Solution

The third proportional to 146,210,913 and 321,115,441.50 is: 705,249,181.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,210,913 : 321,115,441.50 = 321,115,441.50 : x
  2. Step 2: Convert to fraction form
    146,210,913/321,115,441.50 = 321,115,441.50/x
  3. Step 3: Cross multiply
    146,210,913x = 321,115,441.50 × 321,115,441.50
  4. Step 4: Simplify right side
    146,210,913x = 103,115,126,769,739,920
  5. Step 5: Solve for x
    x = 103,115,126,769,739,920/146,210,913
  6. Step 6: Final answer
    x = 705,249,181.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.