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Finding the Third Proportional to 117,249,941 and 156,315,454

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Solution

The third proportional to 117,249,941 and 156,315,454 is: 208,396,873.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,249,941 : 156,315,454 = 156,315,454 : x
  2. Step 2: Convert to fraction form
    117,249,941/156,315,454 = 156,315,454/x
  3. Step 3: Cross multiply
    117,249,941x = 156,315,454 × 156,315,454
  4. Step 4: Simplify right side
    117,249,941x = 24,434,521,159,226,116
  5. Step 5: Solve for x
    x = 24,434,521,159,226,116/117,249,941
  6. Step 6: Final answer
    x = 208,396,873.81

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.