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Finding the Third Proportional to 146,210,964 and 321,115,550

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Solution

The third proportional to 146,210,964 and 321,115,550 is: 705,249,412.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,210,964 : 321,115,550 = 321,115,550 : x
  2. Step 2: Convert to fraction form
    146,210,964/321,115,550 = 321,115,550/x
  3. Step 3: Cross multiply
    146,210,964x = 321,115,550 × 321,115,550
  4. Step 4: Simplify right side
    146,210,964x = 103,115,196,451,802,496
  5. Step 5: Solve for x
    x = 103,115,196,451,802,496/146,210,964
  6. Step 6: Final answer
    x = 705,249,412.43

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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.