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Finding the Third Proportional to 70,298,016 and 144,020,880

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Solution

The third proportional to 70,298,016 and 144,020,880 is: 295,058,311.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,298,016 : 144,020,880 = 144,020,880 : x
  2. Step 2: Convert to fraction form
    70,298,016/144,020,880 = 144,020,880/x
  3. Step 3: Cross multiply
    70,298,016x = 144,020,880 × 144,020,880
  4. Step 4: Simplify right side
    70,298,016x = 20,742,013,875,974,400
  5. Step 5: Solve for x
    x = 20,742,013,875,974,400/70,298,016
  6. Step 6: Final answer
    x = 295,058,311.12

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.