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Finding the Third Proportional to 255,012,968.25 and 540,671,415.75

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Solution

The third proportional to 255,012,968.25 and 540,671,415.75 is: 1,146,316,525.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,012,968.25 : 540,671,415.75 = 540,671,415.75 : x
  2. Step 2: Convert to fraction form
    255,012,968.25/540,671,415.75 = 540,671,415.75/x
  3. Step 3: Cross multiply
    255,012,968.25x = 540,671,415.75 × 540,671,415.75
  4. Step 4: Simplify right side
    255,012,968.25x = 292,325,579,809,109,376
  5. Step 5: Solve for x
    x = 292,325,579,809,109,376/255,012,968.25
  6. Step 6: Final answer
    x = 1,146,316,525.84

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