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Finding the Third Proportional to 107,231,041.90 and 165,699,303.22

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Solution

The third proportional to 107,231,041.90 and 165,699,303.22 is: 256,047,676.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,231,041.90 : 165,699,303.22 = 165,699,303.22 : x
  2. Step 2: Convert to fraction form
    107,231,041.90/165,699,303.22 = 165,699,303.22/x
  3. Step 3: Cross multiply
    107,231,041.90x = 165,699,303.22 × 165,699,303.22
  4. Step 4: Simplify right side
    107,231,041.90x = 27,456,259,088,475,024
  5. Step 5: Solve for x
    x = 27,456,259,088,475,024/107,231,041.90
  6. Step 6: Final answer
    x = 256,047,676.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.