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Finding the Third Proportional to 107,290,992 and 169,964,658

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Solution

The third proportional to 107,290,992 and 169,964,658 is: 269,248,931.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,290,992 : 169,964,658 = 169,964,658 : x
  2. Step 2: Convert to fraction form
    107,290,992/169,964,658 = 169,964,658/x
  3. Step 3: Cross multiply
    107,290,992x = 169,964,658 × 169,964,658
  4. Step 4: Simplify right side
    107,290,992x = 28,887,984,969,056,964
  5. Step 5: Solve for x
    x = 28,887,984,969,056,964/107,290,992
  6. Step 6: Final answer
    x = 269,248,931.63

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.