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Finding the Third Proportional to 105,524,499.75 and 229,214,444.25

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Solution

The third proportional to 105,524,499.75 and 229,214,444.25 is: 497,886,856.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,524,499.75 : 229,214,444.25 = 229,214,444.25 : x
  2. Step 2: Convert to fraction form
    105,524,499.75/229,214,444.25 = 229,214,444.25/x
  3. Step 3: Cross multiply
    105,524,499.75x = 229,214,444.25 × 229,214,444.25
  4. Step 4: Simplify right side
    105,524,499.75x = 52,539,261,452,836,360
  5. Step 5: Solve for x
    x = 52,539,261,452,836,360/105,524,499.75
  6. Step 6: Final answer
    x = 497,886,856.39

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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.