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Finding the Third Proportional to 77,185,548 and 169,673,211

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Solution

The third proportional to 77,185,548 and 169,673,211 is: 372,984,312.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,185,548 : 169,673,211 = 169,673,211 : x
  2. Step 2: Convert to fraction form
    77,185,548/169,673,211 = 169,673,211/x
  3. Step 3: Cross multiply
    77,185,548x = 169,673,211 × 169,673,211
  4. Step 4: Simplify right side
    77,185,548x = 28,788,998,531,050,520
  5. Step 5: Solve for x
    x = 28,788,998,531,050,520/77,185,548
  6. Step 6: Final answer
    x = 372,984,312.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.