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Finding the Third Proportional to 51,005,752.50 and 110,671,293.75

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Solution

The third proportional to 51,005,752.50 and 110,671,293.75 is: 240,132,429.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,005,752.50 : 110,671,293.75 = 110,671,293.75 : x
  2. Step 2: Convert to fraction form
    51,005,752.50/110,671,293.75 = 110,671,293.75/x
  3. Step 3: Cross multiply
    51,005,752.50x = 110,671,293.75 × 110,671,293.75
  4. Step 4: Simplify right side
    51,005,752.50x = 12,248,135,260,298,790
  5. Step 5: Solve for x
    x = 12,248,135,260,298,790/51,005,752.50
  6. Step 6: Final answer
    x = 240,132,429.38

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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.