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Finding the Third Proportional to 105,521,967 and 229,092,029.50

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Solution

The third proportional to 105,521,967 and 229,092,029.50 is: 497,367,130.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,521,967 : 229,092,029.50 = 229,092,029.50 : x
  2. Step 2: Convert to fraction form
    105,521,967/229,092,029.50 = 229,092,029.50/x
  3. Step 3: Cross multiply
    105,521,967x = 229,092,029.50 × 229,092,029.50
  4. Step 4: Simplify right side
    105,521,967x = 52,483,157,980,428,872
  5. Step 5: Solve for x
    x = 52,483,157,980,428,872/105,521,967
  6. Step 6: Final answer
    x = 497,367,130.96

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