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Finding the Third Proportional to 77,434,284 and 168,524,190

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Solution

The third proportional to 77,434,284 and 168,524,190 is: 366,767,808.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,434,284 : 168,524,190 = 168,524,190 : x
  2. Step 2: Convert to fraction form
    77,434,284/168,524,190 = 168,524,190/x
  3. Step 3: Cross multiply
    77,434,284x = 168,524,190 × 168,524,190
  4. Step 4: Simplify right side
    77,434,284x = 28,400,402,615,156,100
  5. Step 5: Solve for x
    x = 28,400,402,615,156,100/77,434,284
  6. Step 6: Final answer
    x = 366,767,808.11

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