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Finding the Third Proportional to 254,694,748 and 403,947,114

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Solution

The third proportional to 254,694,748 and 403,947,114 is: 640,662,095.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,694,748 : 403,947,114 = 403,947,114 : x
  2. Step 2: Convert to fraction form
    254,694,748/403,947,114 = 403,947,114/x
  3. Step 3: Cross multiply
    254,694,748x = 403,947,114 × 403,947,114
  4. Step 4: Simplify right side
    254,694,748x = 163,173,270,908,928,992
  5. Step 5: Solve for x
    x = 163,173,270,908,928,992/254,694,748
  6. Step 6: Final answer
    x = 640,662,095.27

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.