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Finding the Third Proportional to 178,005,212 and 369,652,984

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Solution

The third proportional to 178,005,212 and 369,652,984 is: 767,636,672.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,005,212 : 369,652,984 = 369,652,984 : x
  2. Step 2: Convert to fraction form
    178,005,212/369,652,984 = 369,652,984/x
  3. Step 3: Cross multiply
    178,005,212x = 369,652,984 × 369,652,984
  4. Step 4: Simplify right side
    178,005,212x = 136,643,328,580,104,256
  5. Step 5: Solve for x
    x = 136,643,328,580,104,256/178,005,212
  6. Step 6: Final answer
    x = 767,636,672.23

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.