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Finding the Third Proportional to 147,891,546 and 319,166,172

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Solution

The third proportional to 147,891,546 and 319,166,172 is: 688,795,594.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,891,546 : 319,166,172 = 319,166,172 : x
  2. Step 2: Convert to fraction form
    147,891,546/319,166,172 = 319,166,172/x
  3. Step 3: Cross multiply
    147,891,546x = 319,166,172 × 319,166,172
  4. Step 4: Simplify right side
    147,891,546x = 101,867,045,349,133,584
  5. Step 5: Solve for x
    x = 101,867,045,349,133,584/147,891,546
  6. Step 6: Final answer
    x = 688,795,594.50

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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.