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Finding the Third Proportional to 230,281,221 and 329,304,834

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Solution

The third proportional to 230,281,221 and 329,304,834 is: 470,909,756.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,281,221 : 329,304,834 = 329,304,834 : x
  2. Step 2: Convert to fraction form
    230,281,221/329,304,834 = 329,304,834/x
  3. Step 3: Cross multiply
    230,281,221x = 329,304,834 × 329,304,834
  4. Step 4: Simplify right side
    230,281,221x = 108,441,673,695,767,552
  5. Step 5: Solve for x
    x = 108,441,673,695,767,552/230,281,221
  6. Step 6: Final answer
    x = 470,909,756.45

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.