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Finding the Third Proportional to 78,134,418 and 114,943,176

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Solution

The third proportional to 78,134,418 and 114,943,176 is: 169,092,367.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,134,418 : 114,943,176 = 114,943,176 : x
  2. Step 2: Convert to fraction form
    78,134,418/114,943,176 = 114,943,176/x
  3. Step 3: Cross multiply
    78,134,418x = 114,943,176 × 114,943,176
  4. Step 4: Simplify right side
    78,134,418x = 13,211,933,708,966,976
  5. Step 5: Solve for x
    x = 13,211,933,708,966,976/78,134,418
  6. Step 6: Final answer
    x = 169,092,367.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.