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Finding the Third Proportional to 115,495,602.75 and 256,814,201.25

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Solution

The third proportional to 115,495,602.75 and 256,814,201.25 is: 571,048,008.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,495,602.75 : 256,814,201.25 = 256,814,201.25 : x
  2. Step 2: Convert to fraction form
    115,495,602.75/256,814,201.25 = 256,814,201.25/x
  3. Step 3: Cross multiply
    115,495,602.75x = 256,814,201.25 × 256,814,201.25
  4. Step 4: Simplify right side
    115,495,602.75x = 65,953,533,963,675,504
  5. Step 5: Solve for x
    x = 65,953,533,963,675,504/115,495,602.75
  6. Step 6: Final answer
    x = 571,048,008.70

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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.