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Finding the Third Proportional to 147,872,072 and 329,744,656

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Solution

The third proportional to 147,872,072 and 329,744,656 is: 735,308,139.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,872,072 : 329,744,656 = 329,744,656 : x
  2. Step 2: Convert to fraction form
    147,872,072/329,744,656 = 329,744,656/x
  3. Step 3: Cross multiply
    147,872,072x = 329,744,656 × 329,744,656
  4. Step 4: Simplify right side
    147,872,072x = 108,731,538,160,558,336
  5. Step 5: Solve for x
    x = 108,731,538,160,558,336/147,872,072
  6. Step 6: Final answer
    x = 735,308,139.60

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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.