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Finding the Third Proportional to 106,431,272 and 229,893,712

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Solution

The third proportional to 106,431,272 and 229,893,712 is: 496,575,093.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,431,272 : 229,893,712 = 229,893,712 : x
  2. Step 2: Convert to fraction form
    106,431,272/229,893,712 = 229,893,712/x
  3. Step 3: Cross multiply
    106,431,272x = 229,893,712 × 229,893,712
  4. Step 4: Simplify right side
    106,431,272x = 52,851,118,817,138,944
  5. Step 5: Solve for x
    x = 52,851,118,817,138,944/106,431,272
  6. Step 6: Final answer
    x = 496,575,093.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.