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Finding the Third Proportional to 57,163,507 and 121,700,870

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Solution

The third proportional to 57,163,507 and 121,700,870 is: 259,100,648.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,163,507 : 121,700,870 = 121,700,870 : x
  2. Step 2: Convert to fraction form
    57,163,507/121,700,870 = 121,700,870/x
  3. Step 3: Cross multiply
    57,163,507x = 121,700,870 × 121,700,870
  4. Step 4: Simplify right side
    57,163,507x = 14,811,101,758,756,900
  5. Step 5: Solve for x
    x = 14,811,101,758,756,900/57,163,507
  6. Step 6: Final answer
    x = 259,100,648.93

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.