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Finding the Third Proportional to 76,854,278.25 and 167,354,444.25

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Solution

The third proportional to 76,854,278.25 and 167,354,444.25 is: 364,423,564.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,854,278.25 : 167,354,444.25 = 167,354,444.25 : x
  2. Step 2: Convert to fraction form
    76,854,278.25/167,354,444.25 = 167,354,444.25/x
  3. Step 3: Cross multiply
    76,854,278.25x = 167,354,444.25 × 167,354,444.25
  4. Step 4: Simplify right side
    76,854,278.25x = 28,007,510,010,226,360
  5. Step 5: Solve for x
    x = 28,007,510,010,226,360/76,854,278.25
  6. Step 6: Final answer
    x = 364,423,564.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.