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Finding the Third Proportional to 115,495,652.25 and 256,814,286.75

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Solution

The third proportional to 115,495,652.25 and 256,814,286.75 is: 571,048,144.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,495,652.25 : 256,814,286.75 = 256,814,286.75 : x
  2. Step 2: Convert to fraction form
    115,495,652.25/256,814,286.75 = 256,814,286.75/x
  3. Step 3: Cross multiply
    115,495,652.25x = 256,814,286.75 × 256,814,286.75
  4. Step 4: Simplify right side
    115,495,652.25x = 65,953,577,878,911,224
  5. Step 5: Solve for x
    x = 65,953,577,878,911,224/115,495,652.25
  6. Step 6: Final answer
    x = 571,048,144.19

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.