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Finding the Third Proportional to 51,005,750.75 and 110,671,290.25

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Solution

The third proportional to 51,005,750.75 and 110,671,290.25 is: 240,132,422.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,005,750.75 : 110,671,290.25 = 110,671,290.25 : x
  2. Step 2: Convert to fraction form
    51,005,750.75/110,671,290.25 = 110,671,290.25/x
  3. Step 3: Cross multiply
    51,005,750.75x = 110,671,290.25 × 110,671,290.25
  4. Step 4: Simplify right side
    51,005,750.75x = 12,248,134,485,599,746
  5. Step 5: Solve for x
    x = 12,248,134,485,599,746/51,005,750.75
  6. Step 6: Final answer
    x = 240,132,422.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.