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Finding the Third Proportional to 77,016,440 and 169,147,216

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Solution

The third proportional to 77,016,440 and 169,147,216 is: 371,489,264.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,016,440 : 169,147,216 = 169,147,216 : x
  2. Step 2: Convert to fraction form
    77,016,440/169,147,216 = 169,147,216/x
  3. Step 3: Cross multiply
    77,016,440x = 169,147,216 × 169,147,216
  4. Step 4: Simplify right side
    77,016,440x = 28,610,780,680,550,656
  5. Step 5: Solve for x
    x = 28,610,780,680,550,656/77,016,440
  6. Step 6: Final answer
    x = 371,489,264.90

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