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Finding the Third Proportional to 55,004,742.75 and 116,566,353.75

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Solution

The third proportional to 55,004,742.75 and 116,566,353.75 is: 247,028,058.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,004,742.75 : 116,566,353.75 = 116,566,353.75 : x
  2. Step 2: Convert to fraction form
    55,004,742.75/116,566,353.75 = 116,566,353.75/x
  3. Step 3: Cross multiply
    55,004,742.75x = 116,566,353.75 × 116,566,353.75
  4. Step 4: Simplify right side
    55,004,742.75x = 13,587,714,826,570,140
  5. Step 5: Solve for x
    x = 13,587,714,826,570,140/55,004,742.75
  6. Step 6: Final answer
    x = 247,028,058.80

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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.