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Finding the Third Proportional to 299,149,443.75 and 459,530,173.13

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Solution

The third proportional to 299,149,443.75 and 459,530,173.13 is: 705,894,610.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,149,443.75 : 459,530,173.13 = 459,530,173.13 : x
  2. Step 2: Convert to fraction form
    299,149,443.75/459,530,173.13 = 459,530,173.13/x
  3. Step 3: Cross multiply
    299,149,443.75x = 459,530,173.13 × 459,530,173.13
  4. Step 4: Simplify right side
    299,149,443.75x = 211,167,980,012,292,480
  5. Step 5: Solve for x
    x = 211,167,980,012,292,480/299,149,443.75
  6. Step 6: Final answer
    x = 705,894,610.28

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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.