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Finding the Third Proportional to 76,185,792 and 114,452,352

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Solution

The third proportional to 76,185,792 and 114,452,352 is: 171,939,419.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,185,792 : 114,452,352 = 114,452,352 : x
  2. Step 2: Convert to fraction form
    76,185,792/114,452,352 = 114,452,352/x
  3. Step 3: Cross multiply
    76,185,792x = 114,452,352 × 114,452,352
  4. Step 4: Simplify right side
    76,185,792x = 13,099,340,878,331,904
  5. Step 5: Solve for x
    x = 13,099,340,878,331,904/76,185,792
  6. Step 6: Final answer
    x = 171,939,419.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.