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Finding the Third Proportional to 76,788,762.75 and 167,943,493.13

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Solution

The third proportional to 76,788,762.75 and 167,943,493.13 is: 367,306,567.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,788,762.75 : 167,943,493.13 = 167,943,493.13 : x
  2. Step 2: Convert to fraction form
    76,788,762.75/167,943,493.13 = 167,943,493.13/x
  3. Step 3: Cross multiply
    76,788,762.75x = 167,943,493.13 × 167,943,493.13
  4. Step 4: Simplify right side
    76,788,762.75x = 28,205,016,883,026,924
  5. Step 5: Solve for x
    x = 28,205,016,883,026,924/76,788,762.75
  6. Step 6: Final answer
    x = 367,306,567.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.