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Finding the Third Proportional to 107,458,808.84 and 230,242,729.71

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Solution

The third proportional to 107,458,808.84 and 230,242,729.71 is: 493,321,256.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,458,808.84 : 230,242,729.71 = 230,242,729.71 : x
  2. Step 2: Convert to fraction form
    107,458,808.84/230,242,729.71 = 230,242,729.71/x
  3. Step 3: Cross multiply
    107,458,808.84x = 230,242,729.71 × 230,242,729.71
  4. Step 4: Simplify right side
    107,458,808.84x = 53,011,714,584,740,360
  5. Step 5: Solve for x
    x = 53,011,714,584,740,360/107,458,808.84
  6. Step 6: Final answer
    x = 493,321,256.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.