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Finding the Third Proportional to 145,355,748.75 and 223,422,230.25

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Solution

The third proportional to 145,355,748.75 and 223,422,230.25 is: 343,416,021.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,355,748.75 : 223,422,230.25 = 223,422,230.25 : x
  2. Step 2: Convert to fraction form
    145,355,748.75/223,422,230.25 = 223,422,230.25/x
  3. Step 3: Cross multiply
    145,355,748.75x = 223,422,230.25 × 223,422,230.25
  4. Step 4: Simplify right side
    145,355,748.75x = 49,917,492,969,884,016
  5. Step 5: Solve for x
    x = 49,917,492,969,884,016/145,355,748.75
  6. Step 6: Final answer
    x = 343,416,021.72

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.