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Finding the Third Proportional to 78,211,216 and 118,323,464

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Solution

The third proportional to 78,211,216 and 118,323,464 is: 179,008,112.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,211,216 : 118,323,464 = 118,323,464 : x
  2. Step 2: Convert to fraction form
    78,211,216/118,323,464 = 118,323,464/x
  3. Step 3: Cross multiply
    78,211,216x = 118,323,464 × 118,323,464
  4. Step 4: Simplify right side
    78,211,216x = 14,000,442,132,959,296
  5. Step 5: Solve for x
    x = 14,000,442,132,959,296/78,211,216
  6. Step 6: Final answer
    x = 179,008,112.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.