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Finding the Third Proportional to 76,305,095 and 165,277,294

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Solution

The third proportional to 76,305,095 and 165,277,294 is: 357,991,611.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,305,095 : 165,277,294 = 165,277,294 : x
  2. Step 2: Convert to fraction form
    76,305,095/165,277,294 = 165,277,294/x
  3. Step 3: Cross multiply
    76,305,095x = 165,277,294 × 165,277,294
  4. Step 4: Simplify right side
    76,305,095x = 27,316,583,911,962,436
  5. Step 5: Solve for x
    x = 27,316,583,911,962,436/76,305,095
  6. Step 6: Final answer
    x = 357,991,611.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.