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Finding the Third Proportional to 147,872,106 and 329,744,724

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Solution

The third proportional to 147,872,106 and 329,744,724 is: 735,308,273.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,872,106 : 329,744,724 = 329,744,724 : x
  2. Step 2: Convert to fraction form
    147,872,106/329,744,724 = 329,744,724/x
  3. Step 3: Cross multiply
    147,872,106x = 329,744,724 × 329,744,724
  4. Step 4: Simplify right side
    147,872,106x = 108,731,583,005,836,176
  5. Step 5: Solve for x
    x = 108,731,583,005,836,176/147,872,106
  6. Step 6: Final answer
    x = 735,308,273.80

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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.