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Finding the Third Proportional to 147,872,388 and 329,745,224

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Solution

The third proportional to 147,872,388 and 329,745,224 is: 735,309,101.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,872,388 : 329,745,224 = 329,745,224 : x
  2. Step 2: Convert to fraction form
    147,872,388/329,745,224 = 329,745,224/x
  3. Step 3: Cross multiply
    147,872,388x = 329,745,224 × 329,745,224
  4. Step 4: Simplify right side
    147,872,388x = 108,731,912,750,810,176
  5. Step 5: Solve for x
    x = 108,731,912,750,810,176/147,872,388
  6. Step 6: Final answer
    x = 735,309,101.46

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.