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Finding the Third Proportional to 107,768,245.78 and 235,938,820.78

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Solution

The third proportional to 107,768,245.78 and 235,938,820.78 is: 516,544,801.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,768,245.78 : 235,938,820.78 = 235,938,820.78 : x
  2. Step 2: Convert to fraction form
    107,768,245.78/235,938,820.78 = 235,938,820.78/x
  3. Step 3: Cross multiply
    107,768,245.78x = 235,938,820.78 × 235,938,820.78
  4. Step 4: Simplify right side
    107,768,245.78x = 55,667,127,151,646,808
  5. Step 5: Solve for x
    x = 55,667,127,151,646,808/107,768,245.78
  6. Step 6: Final answer
    x = 516,544,801.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.