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Finding the Third Proportional to 76,310,788 and 165,548,420

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Solution

The third proportional to 76,310,788 and 165,548,420 is: 359,140,300.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,310,788 : 165,548,420 = 165,548,420 : x
  2. Step 2: Convert to fraction form
    76,310,788/165,548,420 = 165,548,420/x
  3. Step 3: Cross multiply
    76,310,788x = 165,548,420 × 165,548,420
  4. Step 4: Simplify right side
    76,310,788x = 27,406,279,364,496,400
  5. Step 5: Solve for x
    x = 27,406,279,364,496,400/76,310,788
  6. Step 6: Final answer
    x = 359,140,300.90

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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.