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Finding the Third Proportional to 165,860,287.88 and 359,913,595.22

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Solution

The third proportional to 165,860,287.88 and 359,913,595.22 is: 781,005,493.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,860,287.88 : 359,913,595.22 = 359,913,595.22 : x
  2. Step 2: Convert to fraction form
    165,860,287.88/359,913,595.22 = 359,913,595.22/x
  3. Step 3: Cross multiply
    165,860,287.88x = 359,913,595.22 × 359,913,595.22
  4. Step 4: Simplify right side
    165,860,287.88x = 129,537,796,023,286,224
  5. Step 5: Solve for x
    x = 129,537,796,023,286,224/165,860,287.88
  6. Step 6: Final answer
    x = 781,005,493.74

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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.