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Finding the Third Proportional to 147,891,532 and 319,166,144

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Solution

The third proportional to 147,891,532 and 319,166,144 is: 688,795,538.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,891,532 : 319,166,144 = 319,166,144 : x
  2. Step 2: Convert to fraction form
    147,891,532/319,166,144 = 319,166,144/x
  3. Step 3: Cross multiply
    147,891,532x = 319,166,144 × 319,166,144
  4. Step 4: Simplify right side
    147,891,532x = 101,867,027,475,828,736
  5. Step 5: Solve for x
    x = 101,867,027,475,828,736/147,891,532
  6. Step 6: Final answer
    x = 688,795,538.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.