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Finding the Third Proportional to 255,012,972.75 and 540,671,424.75

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Solution

The third proportional to 255,012,972.75 and 540,671,424.75 is: 1,146,316,543.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,012,972.75 : 540,671,424.75 = 540,671,424.75 : x
  2. Step 2: Convert to fraction form
    255,012,972.75/540,671,424.75 = 540,671,424.75/x
  3. Step 3: Cross multiply
    255,012,972.75x = 540,671,424.75 × 540,671,424.75
  4. Step 4: Simplify right side
    255,012,972.75x = 292,325,589,541,194,944
  5. Step 5: Solve for x
    x = 292,325,589,541,194,944/255,012,972.75
  6. Step 6: Final answer
    x = 1,146,316,543.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.