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Finding the Third Proportional to 104,880,016 and 158,775,960

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Solution

The third proportional to 104,880,016 and 158,775,960 is: 240,368,055.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,880,016 : 158,775,960 = 158,775,960 : x
  2. Step 2: Convert to fraction form
    104,880,016/158,775,960 = 158,775,960/x
  3. Step 3: Cross multiply
    104,880,016x = 158,775,960 × 158,775,960
  4. Step 4: Simplify right side
    104,880,016x = 25,209,805,473,921,600
  5. Step 5: Solve for x
    x = 25,209,805,473,921,600/104,880,016
  6. Step 6: Final answer
    x = 240,368,055.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.