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Finding the Third Proportional to 136,264,200.75 and 298,909,500.75

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Solution

The third proportional to 136,264,200.75 and 298,909,500.75 is: 655,688,648.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,264,200.75 : 298,909,500.75 = 298,909,500.75 : x
  2. Step 2: Convert to fraction form
    136,264,200.75/298,909,500.75 = 298,909,500.75/x
  3. Step 3: Cross multiply
    136,264,200.75x = 298,909,500.75 × 298,909,500.75
  4. Step 4: Simplify right side
    136,264,200.75x = 89,346,889,638,614,256
  5. Step 5: Solve for x
    x = 89,346,889,638,614,256/136,264,200.75
  6. Step 6: Final answer
    x = 655,688,648.57

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.