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Finding the Third Proportional to 117,249,936 and 156,315,447

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Solution

The third proportional to 117,249,936 and 156,315,447 is: 208,396,864.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,249,936 : 156,315,447 = 156,315,447 : x
  2. Step 2: Convert to fraction form
    117,249,936/156,315,447 = 156,315,447/x
  3. Step 3: Cross multiply
    117,249,936x = 156,315,447 × 156,315,447
  4. Step 4: Simplify right side
    117,249,936x = 24,434,518,970,809,808
  5. Step 5: Solve for x
    x = 24,434,518,970,809,808/117,249,936
  6. Step 6: Final answer
    x = 208,396,864.04

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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.